2x - 1y = 6
-3y = -6x + 18

please explain how you got your answer thank you :)

Answers

Answer 1

Answer: {x,y}={6,21}

Step-by-step explanation:

// Solve equation [2] for the variable  x

  [2]    3x = 18

  [2]    x = 6

// Plug this in for variable  x  in equation [1]

  [1]    2•(6) - y = -9

  [1]     - y = -21

// Solve equation [1] for the variable  y

  [1]    y = 21

// By now we know this much :

   x = 6

   y = 21

We are done

Answer 2

Answer:

y = 2x -6. A dependent system, so all numbers on this line.

Step-by-step explanation:

2x - y = 6

-3y = -6x + 18

In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.

2x - y = 6

In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:

-y = -2x + 6

Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.

[tex]\frac{-y}{-1} =\frac{-2x+6}{-1}[/tex]

We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:

y = 2x - 6

Now, for the other equation. It's simple since y is already isolated.

-3y = -6x + 18

Once again we will be dividing both sides, but this time it's by -3.

[tex]\frac{-3y}{-3} =\frac{-6x+18}{-3}[/tex]

We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:

y = 2x - 6

Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.


Related Questions

Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.​

Answers

Answer:

x3+y3+z3=k  with k is integer from 1 to 100

solution x=0 , y=0 and z=1 and k= 1

For K= 1 , we have the following solutions (x,y,x) = (1,0,0) ; or (0,1,0) ; or (0,0,1) ,

For k =1 also (9,-8,-6) or (9,-6,-8) or (-8,-6,9) or (-8,9,-6) or (-6,-8,9) or (-6,9,8)

And (-1,1,1) or (1,-1,1)

=>(x+y)3−3x2−3xy2+z3=k

=>(x+y+z)3−3(x+y)2.z−3(x+y).z2=k

=>(x+y+z)3−3(x+y)z[(x+y)−3z]=k

lety=αand z=β

=>x3=−α3−β3+k

For k= 2 we have (x,y,z) = (1,1,0) or (1,0,1) or (0,1,1)

Also for (x,y,z) = (7,-6,-5) or (7,-6,-5) or (-6,-5,7) or (-6,7,-5) or (-5,-6,7) or (-5,7,-6)

For k= 3 we have 1 solution : (x,y,z) = (1,1,1)

For k= 10 , we have the solutions (x,y,z) = (1,1,2) or (1,2,1) or (2,1,1)

For k= 9 we have the solutions (x,y,z) = (1,0,2) or (1,2,0) or (0,1,2) or (0,2,1) or (2,0,1) or (2,1,0)

For k= 8 we have (x,y,z) = ( 0,0,2) or (2,0,0) or (0,2,0)

For k= 17 => (x,y,z) = (1,2,2) or (2,1,2) or ( 2,2,1)

For k = 24 we have (x,y,z) = (2,2,2)

For k= 27 => (x,y,z) = (0,0,3) or (3,0,0) or (0,3,0)

for k= 28 => (x,y,z) = (1,0,3) or (1,3,0) or (1,3,0) or (1,0,3) or (3,0,1) or (3,1,0)

For k=29 => (x,y,z) = (1,1,3) or (1,3,1) or (3,1,1)

For k = 35 we have (x,y,z) = (0,2,3) or (0,3,2) or (3,0,2) or (3,2,0) or 2,0,3) or (2,3,0)

For k =36

we have also solution : x=1,y=2andz=3=>

13+23+33=1+8+27=36 with k= 36 , we have the following

we Have : (x, y,z) = (1, 2, 3) ; (3,2,1); (1,3,2) ; (2,1,3) ; (2,3,1), and (3,1,2)

For k= 43 we have (x,y,z) = (2,2,3) or (2,3,2) or (3,2,2)

For k = 44 we have ( 8,-7,-5) or (8,-5,-7) or (-5,-7,8) or ( -5,8,-7) or (-7,-5,8) or (-7,8,-5)

For k =54 => (x,y,z) = (13,-11,-7) ,

for k = 55 => (x,y,z) = (1,3,3) or (3,1,3) or (3,1,1)

and (x,y,z) = (10,-9,-6) or (10,-6,-9) or ( -6,10,-9) or (-6,-9,10) or (-9,10,-6) or (-9,-6,10)

For k = 62 => (x,y,z) = (3,3,2) or (2,3,3) or (3,2,3)

For k =64 => (x,y,z) = (0,0,4) or (0,4,0) or (4,0,0)

For k= 65 => (x,y,z) = (1,0,4) or (1,4,0) or (0,1,4) or (0,4,1) or (4,1,0) or (4,0,1)

For k= 66 => (x,y,z) = (1,1,4) or (1,4,1) or (4,1,1)

For k = 73 => (x,y,z) = (1,2,4) or (1,4,2) or (2,1,4) or (2,4,1) or (4,1,2) or (4,2,1)

For k= 80=> (x,y,z)= (2,2,4) or (2,4,2) or (4,2,2)

For k = 81 => (x,y,z) = (3,3,3)

For k = 90 => (x,y,z) = (11,-9,-6) or (11,-6,-9) or (-9,11,-6) or (-9,-6,11) or (-6,-9,11) or (-6,11,-9)

k = 99 => (x,y,z) = (4,3,2) or (4,2,3) or (2,3,4) or (2,4,3) or ( 3,2,4 ) or (3,4,2)

(x,y,z) = (5,-3,1) or (5,1,-3) or (-3,5,1) or (-3,1,5) or (1,-3,5) or (1,5,-3)

=> 5^3 + (-3)^3 +1 = 125 -27 +1 = 99 => for k = 99

For K = 92

6^3 + (-5)^3 +1 = 216 -125 +1 = 92

8^3 +(-7)^3

Step-by-step explanation:

In this graph, the y-intercept of the line is The equation of the line is y =​

Answers

where is the graph? it doesn’t show a graph.

18ac - 12a - 15c + 10

Answers

Answer:

[tex]\left(3c-2\right)\left(6a-5\right)[/tex]

Step-by-step explanation:

[tex]18ac - 12a - 15c + 10\\\\=\left(18ac-12a\right)+\left(-15c+10\right)\\\\\mathrm{Factor\:out\:}-5\mathrm{\:from\:}-15c+10\mathrm{:\quad }-5\left(3c-2\right)\\\\\mathrm{Factor\:out\:}6a\mathrm{\:from\:}18ac-12a\mathrm{:\quad }6a\left(3c-2\right)\\\\=-5\left(3c-2\right)+6a\left(3c-2\right)\\\\\mathrm{Factor\:out\:common\:term\:}3c-2\\\\=\left(3c-2\right)\left(6a-5\right)[/tex]

(3c-2)(6a-5)

Explain

18ac-12a-15c+10

(18ac-12a)+(-15c+10)

Factor out -5 from-15c+10: -5(3c-2)

Factor out 6a from 18ac-12a: 6a(3c-2)

= -5(3c-2)+6a(3c-2)

Factor out common terms 3c-2

(3c-2)(6a-5)

:) Hope you enjoy :)

HELP PLEASE!!!!!! FASTS!!!!! THANK YOU PLEASE AND THANK YOU KUCH APPRECIATED

Answers

B 1/2

Step-by-step explanation:

Write the expression below in standard form.

8h - 3(4 + 5h)

Answers

8h - 3(4 +5h)
= 8h - 12 + -15h is the answer, I think.

Answer:

Distributed: 8h - 12 + 15hSimplified: 23h - 12

Step-by-step explanation:

Apply the distributed property: 8h - 12 + 15hCombine like terms: 23h - 12

I hope this helps!

we are going to paint the walls in our living room. two walls measure 22 feet by 9 feet and two walls measure 26 feet by 9 ft what is the total wall area that will be painted if a gallon of paint cover 144 square feet how many gallons will we need

Answers

Answer:

You will need 3 gallons and the total square feet is 432.

Step-by-step explanation:

I hope this helps. Have a good day!

Angad was thinking of a number. Angad doubles it and gets an answer of 46.8.
What was the original number?

Answers

23.4. Doubling is twice the amount. So dividing 46.8 by 2 will give you the original number

Of the 650 students at Westmoreland Junior High, 4% will receive a perfect attendance award. How many students will receive the award? *

Answers

Answer:

It would be 26

Step-by-step explanation:

Hope this helps

wut is the soulotion to this eqation2x+10=28

Answers

Answer:

x=9

Step-by-step explanation:

Step 1: Subtract 10 from both sides.

2x+10−10=28−10

2x=18

Step 2: Divide both sides by 2.

2x /2  =  18 /2

X=9 because 9 times 2= 18+10=28

The figures are similar. Find the missing length

Answers

Answer:

4.5 feet, or is there is 5 feet as an option, then 5 feet.

Step-by-step explanation:

ya just subtract

PLEASE HELP ME i will give points

Answers

Answer:

40 degrees

Step-by-step explanation:

There are parallel lines and a transversal. That means that angle a and b are congruent due to corresponding angles theorem.

5x-5=3x+13

Move the variables on one side and numbers on the other. 2x=18

Finally, x=9 And then after you plug it in, your final answer for angle b is 40 degrees.

Answer:

Step-by-step explanation:

Well both angles are the same because the lines are parallel and then there is a line going through them so <A = <B   meaning

5x-5=3x+13 and then you solve

5x - 3x = 13 + 5

2x = 18

x = 9

you pay a processing fee and a daily fee to rent a beach house. the table shows the total cost of renting the beach house for different numbers of days.

a) what is the processing fee? the daily fee?

b) you can spend no more than $1200 on the beach house rental. what is the maximum number of days you can rent the beach house?​

Answers

Answer:

a) The daily fee is $102

The processing fee is $42

b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days

Step-by-step explanation:

The data given in the table are as follows;

Number of days (t)  [tex]{}[/tex]                       Total cost, T (dollars)

2               [tex]{}[/tex]                                       246

4   [tex]{}[/tex]                                                   450

6  [tex]{}[/tex]                                                    654

8   [tex]{}[/tex]                                                   858

Whereby, we have that the processing fee is P, and the daily fee is D, we can write;

Total cost, T = D × t + P

From the table, we have;

When t = 2 days and T = $246, the above equation for total cost becomes;

$246 = D × 2 + P = 2·D + P

246 = 2·D + P.....(1)

Similarly, when t = 6 days, and T = $654, we have;

$654 = D × 6 + P = 6·D + P

654 = 6·D + P.....(2)

Subtracting equation (1) from equation (2) gives;

654 - 246 = 6·D + P - (2·D + P)

408 = 4·D

D = 408/4 = 102

The daily fee, D = $102

From equation (1), we have;

246 = 2·D + P = 2 × 102 + p

p = 246 - 2 × 102 = 42

P = $42

The processing fee, P = $42

b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;

T = D × t + P

Where, D = $102 and P = $42 are constants and T = $1,200, we have;

1,200 = 102 × t + 42

t = (1200 - 42)/102 ≈ 11.35 days

Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.

a) D = $102

   P = $42

b) t = 11 days

Step-by-step explanation:

Given :

Data in the table -

Days (t)                    Total cost (dollors) (T)

 2                                        246

 4                                        450

 6                                        654

 8                                        858

Calculation :

a) Let the total processing fee is P and the daily fee is D.Now,

[tex]\rm T = D \times t + P[/tex]     ------------  (1)

Now, from the table we have ,

When t = 2 days and T = $246 than equation (1) becomes  

[tex]\rm 246 = D\times 2+ P = 2D + P[/tex]  

246 = 2D + P   ------- (2)  

Similarly, when t = 6 days, and T = $654, then equation (1) becomes  

[tex]\rm 654 = D\times 6+ P = 6D + P[/tex]  

654 = 6D + P   --------- (3)  

Subtracting equation (2) from equation (3) ,  

654 - 246 = 6D + P - (2·D + P)  

408 = 4D  

D =  $102    

From equation (2),  

246 = 2·D + P = 2 × 102 + p  

p = 246 - 2 × 102 = 42  

P = $42    

b) Given:

The maximum amount available for spending on the beach house rental = $1200

 Now,

[tex]\rm T= D\times t + P[/tex]  

Where, D = $102 and P = $42 are constants and T = $1,200,  

1200 = 102t + 42  

t = 11.35 days  

Given that we can only rent the beach house for a whole number of days. therefore, the number of days the beach house can be rented is, t = 11 days.

For more information, refer the link given below

https://brainly.com/question/15171617?referrer=searchResults

What property is 4(x+5)=(x+5)4

Answers

Answer:

Distributive propery

What kind of transformation is illustrated in this figure?  

A) reflection
B) translation
C) dilation
D) rotation​

Answers

Answer:

Translation

Step-by-step explanation:

Translation means that it moves without changing shape, and here it just moves to the right, but the shape is still the same

B. Between what 2 integers the square root of the numbers can be found.
1. 23 2. 113 3. 339 4. 640 5. 75​

Answers

3737383747374373737373737373

8+6x-5x+2+2x=12 whats x ?

Answers

Answer:

The answer is 1

Step-by-step explanation:

combine like terms!

[tex]8+6x-5x+2+2x=12\\8+2+6x-5x+2x=12\\10+6x-5x+2x=12\\10+x+2x=12\\10+2x=12\\2x=2\\x=1[/tex]

hope this helps!!

Solve 2(x + 1) = 2x + 2. (1 point)

Answers

[tex]\huge\green{Answer}[/tex]

infinite solutions

Explanation:

note that

2(x+1)=2x+2

⇒2x+2=2x+2

since both sides of the equation are equal then any value

of x is a solution to the equation

⇒ there are an infinite number of solutions

Answer:

true

Step-by-step explanation:

2(x + 1) = 2x + 2

2x + 2 = 2x + 2

0 = 0

Find the slope of the following line containing the following points (4,5) and (11,33)

Answers

The answer would be 4. You use the equation y2-y1/x2-x1 so you would have 33-5/11-4 which would equal 28/7which reduces to 4

Hope this helps.

easy 8th grade math please help

Answers

Answer:

25x<25x

Step-by-step explanation:

i think its that

Answer:

1 ≤ x

Step-by-step explanation:

20 + 5x [tex]\leq[/tex] 5(1 + 4x)

20+ 5x ≤  5 + 20x

      -5x           -5x

20 ≤ 5 + 15x

-5     -5

15 ≤ 15x

÷15   ÷15

1 ≤ x


7. Tristan has $400 in his checking account at the
beginning of August. He wants to have at least $150 in
account by the end of the year. He withdraws $15 each
week for his own use. Write an inequality representing
the scenario. BONUS: How many weeks can Tristan
withdraw money from his account?
6
A. 400 - 15x 2150
C. 400 - 15x > 150
B. 400 - 152 s 150
D. 400 - 15x< 150

Answers

Answer:

C

Step-by-step explanation:

Solve for z -7z/35=3

Answers

Answer:

Z= [tex]-\frac{3}{245}[/tex]

Step-by-step explanation:

simplify.show work
30-2(3²+6)


thanks

Answers

Answer:

30−2(32+6)

=30−2(9+6)

=30−(2)(15)

=30−30

=0

This is 1.5 Finding the missing Angle Relationship. Can someone help me or correction, (DO) lol Problems 1-10. :) thank you. ​

Answers

brbshshsbsbdndmdibsbsnsidjnsbsisns sjsnd d. shane be

Put the following numbers in order (from
largest to smallest):
-55.5, -12.2, -12, -55

Answers

Answer:

-12.2, -12, -55.5 and -55

Answer:

Hey mate......

This is ur answer......

-55.5< -55< -12.2< -12

hope it helps,

mark me as the brainliest,

follow me....

Prove that the value of the expression is not divisible by 6 for any whole n:
(2n+1)(n+5)–2(n+3)–(5n+13).

Answers

Answer:

Step-by-step explanation:

(2n+1)(n+5) - 2(n+3) - (5n+13) = 2n² + 4n - 14 (*)

+) if n is divisible by 3 ⇒ n= 3k ⇒ (*)⇔ 2.9k² + 4.9k -14

2.9k² + 4.9k = 3( 2.3k² +4.3k) ║ 3 but  14∦3

⇒ with n =3k, (*)∦ 3 (1)

+) if n = 3k + m (m∦ 3)

⇒ (*) ⇔ 2.(3k+m)² + 4.(3k+m) -14 = 2.9k² + 2.3k.m + 2m² + 4.3k + 4m -14

= 3(2.3k² + 2.km + 4k) +2m² + 4m -14

3(2.3k² + 2km + 4k)║3 but (2m²+4m-14)∦3

⇒ with n = 3k+m, (*) ∦ 3 (2)

(1)(2)⇒ [(2n+1)(n + 5) - 2(n+3) - (5n+13)] ∦ 3

⇒ (2n+1)(n+5)–2(n+3)–(5n+13)   is not divisible by 6 for any whole n

║is divisible∦ is not divisible

if a=1/8 and c=4, find b

Answers

Answer:

A=1\8

c=4

then b=2

i am only do this by getting fun and do for help other

The value of [b] if a = 1/8 and c = 4 will be 33/16.

What is the mean of two numbers?

The mean of two numbers [a] and [b] is -

[M] = (a + b)/2

Given is that a = 1/8 and c = 4.

We have the following values -

a = 1/8

c = 4

Therefore, we can write the value of [b] as -

b= (1/8 + 4)/2

b = (33/8)/2

b = 33/8 x 1/2

b = 33/16

Therefore, the value of [b] if a = 1/8 and c = 4 will be 33/16.

To solve more questions on mean, visit the link below-

https://brainly.com/question/27270417

#SPJ2

I need help 0ls respond ​

Answers

Hi what’s your question

ANSWER ASAPPPP ‼️‼️‼️
ANSWER PICTURE!!!!!!!

Answers

Answer:

1/2

Step-by-step explanation:

see attached picture.

richard is walking around his neighborhood. if he walks 1/3 mile in 1/6 hour, how fast is richard walking, in miles per hour?

Answers

Answer:

2 miles per hours

Step-by-step explanation:

You divide 1/3 mile by 1/6 hour

Use the reciprocal.

1/3 x 6/1 = 2/1

Simplify

2/1 = 2

You can also solve it this way:

If 1/6 hour is 10 minutes, and it takes 10 minutes to walk 1/3 a mile, then it would take 30 minutes to walk a mile.

30 x 2 = 60

Either way, Richard walks 2 miles per hour.

Richard is walking at an average speed of 2 miles per hour which is the correct answer would be option (B).

What is Average speed?

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To determine how fast is Richard walking, in miles per hour

We have to calculate the average speed which is the ratio of the total distance traveled by a body to the total time

Total distance traveled by Richard = 1/3 mile

The total time taken = 1/6 hour

Average speed = the total distance / the total time

Average speed = (1/3) / (1/6)

Reciprocal the denominator term, and we get

Average speed = (1/3) × 6

Average speed = 2 miles per hour

Therefore, he is at an average speed of 2 miles per hour

Learn more about the average speed here :

brainly.com/question/12322912

#SPJ2

Evaluate x2+8x+5 when x=−2.

Answers

Answer:

25

Step-by-step explanation:

Hope This Helps!

Plz Mark Brailiest!

you substitute the value of the variable into the equation and simplify so i think the answer is -7

hope this helps :)
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