Question

How do I use the substitution method to find the point of intersection of

y= x + 2
3y= 4x - 2

What would the answer be?

Answer 1

To substitute, solve for one variable and then plug it into the other equation you have. In this problem, y is already solved for on the top equation (y=x+2), so you just stuff it into the second equation.

y = x + 2
3y = 4x - 2

3(x + 2) = 4x - 2
3x + 6 = 4x - 2
-x = -8
x = 8
y = x + 2 = 8 + 2 = 10

solution:
x = 8 
y = 10

hope this helps!! :)