Question

Solve the system of equations
3x+2y=2
−2x+y=8

Answer 1

Are you positive?

Answer 2

To solve this system of equations, we can use the method of substitution.

Let's start by solving the second equation for y:
-2x + y = 8
y = 2x + 8

Now we can substitute this expression for y into the first equation:
3x + 2(2x + 8) = 2
3x + 4x + 16 = 2
7x + 16 = 2
7x = -14
x = -2

Now substitute this value of x back into one of the original equations to solve for y:
-2(-2) + y = 8
4 + y = 8
y = 8 - 4
y = 4

Therefore, the solution to the system of equations is x = -2, y = 4.

Answer 3

Yes, I am positive that the solution to the system of equations is x = -2 and y = 4.