Question

Use the substitution method to solve the system 2.5x+y=−2, 3x+2y=0

Answer 1

First, isolate y in the first equation:
2.5x + y = -2
y = -2.5x - 2

Now, substitute y = -2.5x - 2 into the second equation:
3x + 2(-2.5x - 2) = 0
3x - 5x - 4 = 0
-2x - 4 = 0
-2x = 4
x = -2

Now, substitute x = -2 back into the first equation to solve for y:
2.5(-2) + y = -2
-5 + y = -2
y = -2 + 5
y = 3

Therefore, the solution to the system of equations is x = -2 and y = 3.