Question

Solve the system of equations Please If you could solve this it would honestly mean so much! Thank you!

y=3x+2
-3x+2y=10

Answer 1

(2, 8)

Explanation:

There are a couple of different ways to do this, but I am going to use substitution since we already have one of those equations solved for y. If y=3x+2, then we can sub 3x+2 in for y in the other equation:

-3x + 2(3x + 2) = 10 and

-3x + 6x + 4 = 10 and

3x + 4 = 10 and

3x = 6 so

x = 2. Now that we know x = 2, we can sub a 2 in for x in either equation to solve for y:

y = 3x + 2 gives us, with the substitution, y = 3(2) + 2 so y = 8. The solution set is (2, 8)