Solving systems of equations

y = x + 2

y = 3x - 2

x = 2

y = 4

Step-by-step explanation:

y = x + 2

y = 3x - 2

From equation one, y = x + 2

So, substitute x + 2 for y into equation two

We have

x + 2 = 3x - 2

Add 2 to both sides of the equation

x + 2 + 2 = 3x - 2 + 2

x + 4 = 3x

Subtract x from both sides

x - x + 4 = 3x - x

4 = 2x

Divide both sides by by 2

4/2 = 2x/2

2 = x

x = 2

Substitute 2 for x in either of the equations to get y.

Using the first equation, we have

y = 2 + 2

y = 4