Solve the system of linear equations: y=-3/2x-2 and 2x-y=-5

Answer 1

To solve this system of linear equations, we can substitute the value of y from the first equation into the second equation.

y = -3/2x - 2

Substitute y into the second equation:

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

Now that we have found the value of x, we can substitute it back into the first equation to find the value of y.

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

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