Question

Solve the system of equations

3x+2y=2
−2x+y=8

Answer 1

There are different methods to solve systems of equations, but we will use substitution.

From the second equation, we can solve for y in terms of x:

-2x + y = 8

y = 2x + 8

Then we substitute this expression for y into the first equation:

3x + 2y = 2

3x + 2(2x + 8) = 2

Simplifying:

3x + 4x + 16 = 2

7x = -14

x = -2

Now we can use this value of x to find y:

y = 2x + 8 = 2(-2) + 8 = 4

Therefore, the solution to the system of equations is (-2, 4).