Question

what is the solution to

y = -3/2x - 2 and 2x - y = -5

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve this system of equations, we can use either substitution or elimination method. Let's use the substitution method:

Given equations:
1) y = -3/2x - 2
2) 2x - y = -5

Step 1: Substitute the value of y from equation 1 into equation 2:
2x - (-3/2x - 2) = -5
2x + 3/2x + 2 = -5
Multiply by 2 to clear the fraction:
4x + 3x + 4 = -10

Step 2: Combine like terms:
7x + 4 = -10

Step 3: Subtract 4 from both sides to isolate x:
7x = -14
x = -2

Step 4: Substitute the value of x back into equation 1 to find y:
y = -3/2(-2) - 2
y = 3 + 2
y = 5

Therefore, the solution to the system of equations is x = -2 and y = 5.