Question

Solve
-8x - 3y = -5
-2x + 7y = -9

Answer 1

x = 1

y = - 1

Explanation:

-8x - 3y = -5

-2x + 7y = -9 | × (-4)

-8x - 3y = - 5

8x - 28y = 36 +

________________

- 8x + 8x - 3y - 28y = - 5 + 36

- 31y = 31

31y = - 31

y = - 1

- 8x - 3(-1) = - 5

- 8x + 3 = - 5

- 8x = - 8

8x = 8

x = 1

Answer 2

x=1 y=-1

Explanation:

-8x - 3y = -5

-2x + 7y = -9

Multiply the second equation by -4

-4(-2x + 7y) = -9*-4

8x -28y = 36

Add this to the first equation

-8x - 3y = -5

8x -28y = 36

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

-31y = 31

Divide each side by -31

-31y/-31 = 31/-31

y= -1

Now we can find x

-2x +7y =-9

-2x +7(-1) = -9

-2x-7 =-9

Add 7 to each side

-2x -7+7 =-9+7

-2x =-2

Divide by -2

-2x/-2 = -2/-2

x=1