Solve:
x + y = 7
3x - 2y = 11

By using Substituting method.​

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

[tex]\sf \longmapsto x + y = 7 \: \: - - - (i)[/tex]

[tex]\sf \longmapsto 3x - 2y = 11 \: \: - - - (ii)[/tex]

By first equation,

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x = 7 - y[/tex]

Now, we can find the original value of y.

[tex]\sf \longmapsto 3x - 2y = 11[/tex]

[tex]\sf \longmapsto 3(7 - y) - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 3y - 2y = 11[/tex]

[tex]\sf \longmapsto 21 - 5y = 11[/tex]

[tex]\sf \longmapsto - 5y = 11 - 21[/tex]

[tex]\sf \longmapsto - 5y = - 10[/tex]

[tex]\sf \longmapsto y = \dfrac{ - 10}{ - 5} [/tex]

[tex]\sf \longmapsto y = 2[/tex]

Now, we can find the original value of x.

[tex]\sf \longmapsto x + y = 7[/tex]

[tex]\sf \longmapsto x + 2 = 7[/tex]

[tex]\sf \longmapsto x = 7 - 2[/tex]

[tex]\sf \longmapsto x = 5[/tex]

Therefore, the values of x and y are 5 and 2 respectively.


Related Questions

The points ​(​18,21​) and ​(42,​49​) form a proportional relationship. Find the slope of the line through the points. Then use the slope to graph the line.

Answers

Answer: 5/2

Step-by-step explanation: 49 - 42/ 21 - 18

Identify the parallel lines.

Answers

Answer:

lines m and n

Step-by-step explanation:

Uhh parallel lines are basically lines that have the same slope.

There are only three lines, lines m, n, and t

It can't be t because it's traversing lines m and n

so it has to be lines m and n

Hope that helps, let me know if you have any further questions

Domingo earns $13 dollars per hour and worked 47.5 hours that week. He is paid
double time for all hours worked over 40 hours in one week. What is his gross pay
for the week?

Answers

Domingo earns 715$ in the week that is his gross income

Someone plz help me :(

Answers

Answer:

28 miles

Step-by-step explanation:

12:3

7:x

12÷3=4

4 miles per hour

7•4=28

Answer: Maria will run 28 miles in 7 hours.

Explanation: Since she ran 12 miles in 3 hours, we can simply do 12m/3 and get a pace of 4m or 4 miles per hour. Then multiply 4 by 7 because thats how many hours she has to run. The answer is 28.

can someone please help me with this? i don’t understand it at all

Answers

Answer: I’m pretty sure they are similar because they have the same interior degree.

Step-by-step explanation:

A child's weight was 200% what it was at age 3. by what percent did the child's weight increase by

Answers

Answer:

The child's weight increase by 66.7%

How many solutions does this linear system have?

y = -6x+2

-12x - 2y = -4

one solution: (0,0)

O one solution: (1.4)

O no solution

O infinite number of solutions

Answers

Answer:

in finity

Step-by-step explanation:

Both provide ATP molecules, but only fermentation occurs when oxygen is present.

okokoo

The linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of linear equations are y = -6x+2 and -12x - 2y = -4

To solve this system, we can substitute the expression for y from the first equation into the second equation, as follows.

-12x - 2y = -4

substitute y = -6x + 2 from first equation

-12x - 2(-6x + 2) = -4

Distribute the negative sign

-12x + 12x - 4 = -4

0 = 0

The equation 0 = 0 is a true statement, which means that the system has infinitely many solutions.

Hence, the linear system have y = -6x+2 and -12x - 2y = -4 have infinite number of solutions.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ7

Please help with showing the points in the table

Answers

Answer:

attached

Step-by-step explanation:

Please try to create table yourself. just plug in the x value to calculate the y value, such as x=-5, y=-2; x=-6, y=-2... or x=-1, y=-1-3=-4 ...etc

Bill has two dollars and 2 cents. How much money does he have?

Answers

Answer:

He has $2.02

Step-by-step explanation:

You answered the question in the first sentance.

Raquel y Beatriz van a montar a caballo Raquel lo hace cada 3 días y Beatriz cada 4 días. Si coinciden el 24 de febrero

Answers

Si el año es ordinario, entonces Raquel y Beatriz se encontrarán el 8 de febrero, más si el año es bisiesto, entonces se encontrarán el 7 de febrero.

El período de coincidencia es el tiempo que pasa entre dos fechas en las que Raquel y Beatriz coinciden y queda determinado por el mínimo común múltiplo de los tiempos de frecuencia de cada una. En este caso, el período de coincidencia corresponde a 12 días.

Si tenemos que coincidieron el 24 de febrero, debemos considerar dos posibilidades: (i) Año ordinario, (ii) Año bisiesto.

Si el año es ordinario, entonces Raquel y Beatriz se encontrarán el 8 de febrero, más si el año es bisiesto, entonces se encontrarán el 7 de febrero.

Invitamos cordialmente a ver esta pregunta sobre mínimo común múltiplo: https://brainly.com/question/21756809

Nota - El enunciado se encuentra incompleto, la forma completa se describe a continuación:

Raquel y Beatriz van a montar a caballo. Raquel lo hace cada 3 días y Beatriz cada 4 días. Si coinciden el 24 de febrero, ¿cuando volverán a coincidir?

The product of twice a number and four is the same as the difference of seven times the number and 2/7 Find the number.

Answers

Answer:

the number is -2/7

Step-by-step explanation:

let the number be x

2x ×4= 7x-2/7

8x = 7x-2/7

collect like terms

8x-7x = -2/7

X= -2/7

Kylie signed up for a streaming music service where there's a fixed cost for a monthly membership and a cost per song downloaded. Her total cost is given by the linear graph below. What does the slope of the line represent?

Answers

Answer:

we need the linear graph ._.

Step-by-step explanation:

One-fourth of a number is five-eights. Find the number. Simplify your answer

Answers

Answer:

2.50 or 2.5

Step-by-step explanation:

1/4=.25 so 25% of a number=5/8=0.625

So we multiply .625*4 to get the number. Since it's 25% and we want 100% to get it back to the original number

.625*4=2.50 or 2.5

(7g - 6) - (-3n – 4) =​

Answers

Answer:

7g + 3n - 2

Step-by-step explanation:

when you subtract you 'add the opposite'; subtracting a negative is the same as adding a positive

for example, using the above statement we can rewrite the problem as:

7g - 6 + 3n + 4

we can combine -6 and 4 to get -2

7g + 3n - 2 or 7g + 3n + (-2)

A company’s stock was selling at $20 a share. A month later, it was selling at $26 a share. What is the percent gain

Answers

Answer:

The percent gain would be 77952515`0%

pleaseeeee helpppppp <333

Answers

Step-by-step explanation:

64+72+4x+20=180(Sum of angles of a triangle )156+4x=1804x=180-1564x=24X=24/4X=6

Therefore The value of X is 6 degree.

helpppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

12/12=1

2.5/2.5=1

5/_=1

mysterty number is 5

5.5./_=1

mystery number is 5

Step-by-step explanation:

3y-6 = y+4 solve HELLLLKPPP

Answers

so first -y which is 2y-6= 4 so then +6 which makes 2y = 10 then divide by 2 which gives y = 5

Please tell me the answer up to e no.​

Answers

(I think you need a-e, if not let me know and I will edit accordingly)

a: Divide both sides by 4

cm -> 12:8

3:2

b: Convert and divide both sides by 3

cm -> 150:9

50:3

c: Convert and divide both sides by 20

cm -> 100:80

5:4

d: Convert and divide both sides by 4

months -> 4:12

1:3

e: Convert and divide both sides by 250

g -> 2000:250

8:1

Hope this helps, have a nice day :)

i need the answer to the bottom question please help !!!!!!!!!!!!!!

Answers

Answer:

y = 9/17 x - 28/17

Step-by-step explanation:

please please help with question ill give high points and brainliest

Answers

Answer:

Step-by-step explanation:

factorise the following, with steps​

Answers

Answer:

Step-by-step explanation:

1) Sum = - 9

Product = -36

Factors = -12 , 3     {-12 + 3 = -9  & -12*3 = -36}

3a²  - 9a - 12 = 3a² + 3a - 12a - 12

                    =3a(a + 1) - 12(a + 1)

                    = (a + 1) (3a - 12)

2) 4a² + 38a - 20 = 4a² + 40a - 2a  - 20

                            =4a(a + 10) - 2(a + 10)

                            =(a + 10)(4a - 2)

3) 11a² + 30a - 9 = 11a² + 33a - 3a - 9

                          = 11a(a + 3) - 3(a + 3)

                          =(a + 3)(11a - 3)

Two people wrote a book together. They agreed to share the royalties so that the senior author received twice as much as the
junior author. What is each author's share of a $2400 royalty check?

Answers

Answer:

Junior author = $800

Senior author = $1600

Step-by-step explanation:

The check is split between the senior author and junior author in the ratio of 2:1

2:1 = $2400

Add the ratios together:

2 + 1 = 3

3 parts = $2400

Find one part of the total check by dividing both sides by 3:

1 part = $800

The junior author would get $800, and the senior author would get double, $1600

A hardware store is having a clearance sale where everything is 61% off. If the regular price of a saw is $287,
approximately how much will be taken off the regular price?

Answers

Answer:

$175.07 will be taken off

Step-by-step explanation:

287x61/100

17507/100

175.07

There are 20 black, 15 white, 12 green, 12 red, 9 blue and 2 yellow candies in a box. How many candies should you take (without looking at them) to be sure that you have at least 3 candies the same color?

Answers

Answer:  13

=============================================================

Explanation:

The best case scenario is that you get 3 of the same color in a row on the first three attempts. The lower bound is 3.

However, we have to consider the worst case scenario when we want to guarantee something like this, without looking at the candies we selected.

Consider the case of something like this sequence:

blackwhite greenredblueyellowblackwhitegreenredblueyellowblack

As you can see above, I've listed the colors in the order presented by your teacher. I pick one candy at a time. Once I reach yellow, I restart the cycle. In slots 1, 7 and 13, we have a black candy selected. This example shows that we must make 13 selections to guarantee that we get at least 3 candies of the same color (that color being black). The order of the candies selected doesn't matter. We could easily use any other color except yellow to do this example. The black candy just happened to be the first listed, so I went with that.

Note how we have 6 unique colors in the set {black, white, green, red, blue, yellow}. If we pick 2 candies of each color, then we've selected 6*2 = 12 candies so far. That 13th candy (some color other than yellow) is guaranteed to be a color we already selected; therefore, we'll be guaranteed to have 3 of the same color. We won't know what color it is but we will know we have a match like this.

For more information, check out the Pigeonhole Principle.

Find the interval(s) on which the function is negative.

y = x^2 - 6x - 16

I. (-∞, -2)
II. (-∞, 3)
III. (-2, 8)
IV. (8,∞)

A. III only
B. I only
C. II only
D. I,II

Answers

Answer:

I am going to say that it is option A.

Step-by-step explanation:

I hope this helped out a lot!

Jimmy's Bike Rentals charges a $13 fixed fee plus $7 an
our for renting a bike. Amanda paid $55 to rent a bike. How
hany hours did she pay to have the bike checked out ?

Answers

Answer:

6 hours

Step-by-step explanation:

let the no. of hours  she rent the bike be x

then,

13 + 7*x = 55

13 +  7x = 55

7x = 55 -13

7x = 42

x = 6

equation : 13+7x=55

7x=42

x=6

Amanda paid for 6 hours

PLEASE HELP FAST WILL MARK BRANLIEST!!

Which is the graph of y = 2(x - 3)2 + 2

Answers

The graph will look like this


HELP QUICKKKK!!!!!

Answers

D. When you reflect over the y axis, the coordinates change from (x,y) to (-x,y). Since all of the numbers are negative, the x coordinate would be positive

Simplify 2x2 + 3x2 + 3x

Answers

Answer:

10+3x

Step-by-step explanation:

2(2) = 4

3(2) = 6

4+6 = 10

10+3x

Answer:

Step-by-step explanation:

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