solve the following system of equations for all three variables.
-9x-y+2z= -4
-6x+y+5z= 2
-4x+y+5z= 6

Answers

Answer 1

Answer:

x=2, z=4, y=-6

Step-by-step explanation:

Add

-9x-y+2z= -4

-6x+y+5z= 2

-9x-6x is -15x

-y+y is 0

2z+5z is 7z

-4+2 is -2

So the equation now looks like this: -15x+7z=-2

Subtract

-6x+y+5z= 2

-4x+y+5z= 6

So the equation will look like this:

-6x+y+5z= 2

-(-4x+y+5z= 6)

-6x+4x is -2x

y-y is 0

5z-5z is 0

2-6 is -4

So the equation now looks like this: -2x=-4

You can find x by dividing -2 on both sides:

x=2

So 2 is x

Now you can substitute x into 2

-15(2)+7z=-2

-30+7z=-2

7z=28

Divide 7 on both sides:

z=4

So now you can substitute z into 4 (For any of the three equation)

-4(2)+y+5(4)=6

-8+y+20=6

20 minus 8 is 12

y+12=6

Subtract 12 on both sides:

y=-6

So the answers are

x=2, z=4, y=-6

Hope this helps!


Related Questions

State the radius of this circle:
X^2 +Y^2=121

Answers

Answer:

radius = 11

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

x² + y² = 121 ← is the equation of a circle centred at the origin

with r² = 121 , then

r = [tex]\sqrt{121}[/tex] = 11

Can yall please help me with this I am helping my brother I just need the answers lol.

Answers

Answer:

hope it helps

Step-by-step explanation:

4. 1/3

5. 1/3

6. 3/4

7. 1/4

8. 1/2

9. 3/7

10. 2/7

11. 3/5

12. 2/3

PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!

Answers

Answer:

130

Step-by-step explanation:

sorry if wrong

have a great day

Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of apples does she have?

Answers

4 1/2 + 3 1/4 + 2 1/4 = 10 pounds of apples.

10 pounds is approximately 4.5 kilograms.

Help with this problem

Answers

Answer:

You should use AAS for this problem

Step-by-step explanation:

Maybe Brainliest Please

Indhu has 150 stamps and Clarissa has 78 stamps. How many stamps must Indhu give Clarissa so that they will have the same number of stamps?​

Answers

Answer:

36 stamps

Step-by-step explanation:

150+78=228

228/2=114

150-114=36

5/6 x 15 in simplest form

Answers

Answer:

25/2

Step-by-step explanation:

5/6 x 15=12.5

12.5 in simplest form is 25/2

Factor the Polynomial
6x3 - 16x2 + 21x - 56

Answers

Answer:

-1190

Step-by-step explanation:

I'm gonna do some sketchy stuff doda doda

the answer is (3x-8) (2x^2+7)

94.
The equation for the supply curve in the below diagram is approximately:
P
30
20
10++
IN
Q
0
20
40
60
80
100
A. P= 4+1,0
B. P= 4+20
C. P=4+39
D. P= 4.30

Answers

Answer:

are you cheating again?

Step-by-step explanation:

cuz I wanna know the answer too

This question in algebraic expression and number form : the difference between 20 and x

Answers

Answer: Let the numbers be x and y.

x+y = 20 …(1)

x-y = 10 …(2)

Add (1) and (2)

2x = 30, or x = 15, and so y = 5.

The product of the two numbers = xy = 15*5 = 75.

Step-by-step explanation:

I am using remainders

Answers

Answer:

Step-by-step explanation:

Is there an image or question?

salaries of nurses in southern california are normally distributed with a mean of $6250 and a standard deviation of $250. what is the probability the mean salary of 25 randomly selected nurses is below $6150 or is above $6350 a month

Answers

Step-by-step explanation:

z-score of X = 6150

[tex] \frac{6150 - 6250}{250} = - 0.4 \\[/tex]

z-score of X = 6350

[tex] \frac{6350 - 6250}{250} = - 0.4[/tex]

P(X<6150) + P(X>6350)

=P(z<-0.4) + P(z>-0.4)

=0.3446+0.3446

=0.6892

x-10<-26
help lololololol

Answers

Hope this will help you!! <3

Answer:

Step-by-step explanation:

1) -90 ≥ 18x

Divide both sides by 18

-90/18 ≥ 18x/18

-5 ≥ x

2)x/3 > -8

Multiply by 3,

3*(x/3) > -8*3

x> -24

3)x - 10 < -26

Add 10 to both sides

x  < -26 +10

x < -16

4) 19 -x ≥ 21

Subtract 19 from both sides,

-x ≥ 21 - 19

-x ≥ 2

Divide both sides by (-1)

x < -2

In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46

What is the probability?
If you win what is your net profit?
Find the value?

Answers

Answer:

How old are you

Step-by-step explanation:

Select the correct answer from each drop-down menu.

The slope of line p is___
and the slope of line q is ____

Answers

Slope is rise/run which is how I found the slopes.

Slope for line q is -3 and for line p it is 3.

Hope this helps !!

Who can help me with these two.?

Answers

Ask your old Brother or Sister they could help you out with this if not then wait till someone helps you on here!

A
Learning Task 3. Inside each wet and subsets, write at least 5 amples of
kind of numbers
Interpers
Who
Rational
Marafina
Natural
Solve the following word problem.

1. Mikey worked on her mathematics homework for hour and her science
homework for 7/8 hour. How long did she spend in all doing homework?

2. There are 60 students in a class. Three-fourths of them are girls. How many
boys are there?

3. One day in Baguio, the temperature went from - 2 °C to 8°C. What is the
change in temperature?

4. The elevation of Mt. Everest is 29 028 ft. The elevation of the Dead Sea is -485
ft. Find the difference in the elevation between Mt. Everest and the Dead Sea
1

5. Angie cleans of the yard. Alex cleans of the remaining. What fraction of
the yard is left unclean?
3

Matinong sagot po please​

Answers

The following questions are related to problems on simple fraction and arithmetic. Hence, the solutions to the questions are as follows :

1.)

Time on mathematics = 1 hour

Time on science homework = 7/8 hours

Total time spent = (1 + 7/8) = [tex] 1 \frac{7}{8}[/tex]

2.)

Total number of students = 60

Fraction of girls = 3/4

Fraction of boys = 1 - 3/4 = 1/4

Number of boys = 1/4 × 60 = 15 boys

3.)

Initial temperature = - 2°C

Final temperature = 8°C

Change in temperature = Final temperature - Initial temperature

Change in temperature = (8 - (-2)) = 8 + 2 = 10°C

4.)

Elevation of everest = 20028 feets

Elevation of dead sea = - 485 feets

Difference in elevation = (20028 - (-485)) = 20513 feets

5.)

Question is missing key values.

Learn more : https://brainly.com/question/10483418

which one is this a b c d e the thing on the side dosent matter

Answers

Answer:

21.5m²

Step-by-step explanation:

Area for a square: LxW = A

10x10=100m²

Area for a circle: pi r² = A

pi(5)²=78.5m²

Find the difference:

100m²-78.5m² = 21.5m²

Suppose a car travels at a rate of 60 miles per hour for 3 hours. How many miles does the car travel?

UPDATE IM DUM IT 180

Answers

Ok lol I was going to put 180 but if you got it than that’s fine.

Answer:

thanks

Step-by-step explanation:

what's the slope of line parallel to the line x-4 = -6

Answers

Answer:

Parallel slope is undefined.

Step-by-step explanation:

x - 4 = -6

x = -2

Slope does not exist.

PLEASE HELP I NEED TO DO THIS RIGHT

Answers

Answer:

C maybe i dunno but gl

Answer:

A

Step-by-step explanation:

Given a function f(x) where the first derivative with respect to x evaluated in two equals

f'(2)=1/2

The slope of the tangent line is

mt=1/2

Therefore, the slope of the normal line is

mn=-1/(1/2)

mn=-2

Evaluating the given point in the general form

y-y1=m(x-x1)

y-(-1)=-2(x-2)

y+1=-2x+4

y=-2x+3

what are some expressions to solve a product of 120? a(6x10)+(20x10) b.20x6 c. (6x2)+(10x2) d.(2x5)+(55x2)

Answers

Answer:  D. i took the test.. Happy to Help! :)

Step-by-step explanation:

what is the midpoint of-2,2 4,-1

Answers

The midpoint is at (1, 0.5)

8.4y - 6.8 = - 3.2y + 16.4​

Answers

Answer:

y = 2

Step-by-step explanation:

There are three sizes of pizza, three of crust, and ten toppings. If you Order one size, one type of crust, and one topping, how many pizza choices are there?

Answers

3 Sizes
3 crusts
10 top
3x3=9
9x10=90
90 different pizza choices

solve the following inequality for n -5n+6≥-7(5n-6)-6n

Answers

Answer: The inequality is: n ≥ 36/37

Step-by-step explanation:

Let's solve your inequality step-by-step.

n − 5n + 6 ≥ −7(5n−6)−6

----------------------------------------------------------------------------------------------------------------

Step 1: Simplify both sides of the inequality.

−4n + 6 ≥ −41n + 42

----------------------------------------------------------------------------------------------------------------

Step 2: Add 41n to both sides.

−4n + 6 + 41n ≥ − 41n+ 42 + 41n

37n + 6 ≥ 42

----------------------------------------------------------------------------------------------------------------

Step 3: Subtract 6 from both sides.

37n + 6 − 6 ≥ 42 − 6

37n ≥ 36

----------------------------------------------------------------------------------------------------------------

Step 4: Divide both sides by 37.

37n/37 ≥ 36/37

n ≥ 36/37

----------------------------------------------------------------------------------------------------------------

Answer:

n ≥ 36/37

Source: https://www.mathpapa.com/calc.html?q=x+y%3D7%2C%20x+2y%3D11

,  Hope this helps :)

Have a great day!!

Consider the following game. The diamonds are taken out of a deck of cards, and are shuffled randomly. You pay $5 to pick one of the diamonds. If you pick the ace of diamonds, you win $20. If you pick the jack, queen, or king, you win $10. However, if you pick any other card, then you don't win any money. What is the expected value of this game? Is it in the player's favor to play this game? Why or why not?

Answers

Answer:

It is not in the players favor because there is a 4/13 chance that the player will win money. That"s not even 50%. So its up to the player if they want to take that risk but its a 0.3% chance that the player will win money.

Hope this helps :)


If you were to rotate ABCD 180° about the origin, what would the coordinate of A' be?

-5 -5
-3 -5
-5 -3
-3 3

Answers

Answer:

(-3,-5) .............................

A figurine of a lighthouse is shown. if the actual lighthouse is 30feet wide, how tall is the lighthouse

Answers

Answer:

30× 60 ( 3×2= 6 + tens= 60 )= minimum- 180 fery

In the construction, A is the center of one circle, and B is
the center of the other. Explain why segment EA is the
same length as segment BC.

Answers

Without a picture, no way to solve this
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