Question

3x - 5y = 10 6x + 3y = -6 Marybeth is going to solve this problem by multiplying the top equation by -2. If she does this and combines the equations, what does she get?

Answer 1

Nothing, x=0 and y=-2

Answer 2

Answer: x=0, y= -2

Step-by-step explanation:

3x - 5y = 10 ........ equation i

6x + 3y = -6 .......... equation ii

Marybeth wants to solve the problem by multiplying the top equation by -2.

This will be

-2(3x - 5y =10)

-6x + 10y = -20 ...... equation iii

Combine equation iii and ii. This will be:

-6x + 10y = -20

6x + 3y = -6

Add both equations together

(-6x+6x)+(10y+3y) = (-20-6)

13y = -26

Divide both side by 13

13y/13 = -26/13

y = -2

Put the value of y into equation I

3x - 5y = 10

3x -5(-2) = 10

3x + 10= 10

3x = 10-10

3x= 0

x= 0

Therefore, X= 0, y = -2