Question

2x+y=-2. 5x + 3y= -8 solve for x and y

Answer 1

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

We can isolate y in the first equation and substitute its expression for y into the second equation to find x:

2x + y = -2
y = -2x - 2

----

5x + 3y = -8
5x + 3(-2x - 2) = -8
5x - 6x - 6 = -8
- x - 6 = -8
-x = -2
x = 2

Now we can substitute that into y = -2x - 2 to find y:

y = -2(2) - 2
y = -4 - 2
y = -6

Finally, we must check our work by plugging both values back into both original equations:

2(2) + (-6) = -2     -->     4 - 6 = -2     <--True
5(2) + 3(-6) = -8     -->     10 - 18 = -8     <--True

Answer:
x = 2
y = -6

Hope this helps.