y=−3/2x−2

and 2x−y=−5
what is the solution

1 answer

To find the solution, we can first substitute y=-3/2x-2 into the second equation:

2x - (-3/2x - 2) = -5
2x + 3/2x + 2 = -5
(4x + 3)/2 = -5
4x + 3 = -10
4x = -13
x = -13/4

Now, substitute the value of x back into the first equation to find y:

y = -3/2(-13/4) - 2
y = 39/8 - 16/8
y = 23/8

Therefore, the solution to the system of equations y=-3/2x-2 and 2x-y=-5 is x=-13/4 and y=23/8.