Algebra Practice Test 2026 - Free Algebra Practice Questions and Study Guide

To find the correct values of x and y in the given system of equations, we need to solve the equations step by step.

The first equation is 2x + 2y = 14. We can simplify this by dividing the entire equation by 2, yielding:

x + y = 7.

Now, we have a simpler equation to work with, which can help us express y in terms of x. Rearranging gives:

y = 7 - x.

Next, substitute this expression for y into the second equation, 3x - 2y = -4:

3x - 2(7 - x) = -4.

Expanding this yields:

3x - 14 + 2x = -4.

Combining like terms results in:

5x - 14 = -4.

Next, add 14 to both sides:

5x = 10.

Now, divide both sides by 5:

x = 2.

Now that we have x, we can substitute it back into the equation we derived for y:

y = 7 - x = 7 - 2 = 5.

So, the values of x and y are x = 2 and y =