Section: Mathematical Reasoning

9) Solve using the substitution method. 

y = 3x - 2

3x + 4y = 22

1. x=3
   y=5
2. x=5
   y=3
3. x=2
   y=4
4. x=4
   y=2

If y=3x-2, then you can simply substitute 3x-2 for any place in the second equation where there is a y. This leaves you with the following:

3x + 4(3x - 2) = 22

From there, use order of operations to solve.

3x + 12x - 8 = 22
15x=30
x=2

Once x is determined, plug in the number (2) to the equation y=3x-2.

y=3(2)-2
y=6-2
y=4