3x+5y=-2
-x+2y=8

solve for this asap!

X = -4  Y =2

Step-by-step explanation:

3X+5Y=-2

-X+2Y=8

I will use elimination.  Multiply the second equation by 3 to eliminate x

3(-X+2Y)=8*3

-3X +6Y = 24

Add this to the first equation

3X+5Y=-2

-3X +6Y = 24

     11Y = 22

Divide by 11

11Y/11 = 22/11

Y =2

Now we need to find X

-X+2Y=8

-X +2(2) = 8

-X +4 = 8

Subtract 4 from each side

-X +4-4 = 8-4

-X = 4

Multiply by -1

X = -4

3x + 5y = -2

-x + 2y = 8

Multiply second equation by 3 and add to the first:

-3x + 6y = 24

11y = 22

y = 2

x = 2y - 8 = -4

Check:

3(-4) + 5(2) = -12 + 10 = -2 good

-(-4) + 2(2) = 8 good

x=-4, y=2

answer:

step-by-step explanation: