Answer:
y = 6 and x = -1.
Step-by-step explanation:
It's normally useful for me to rewrite the equation so they match. I'm using the substitution method.
First find out what "y" equals (I'm using the second equation):
Add 8 to both sides:
y - 8 = 2x
+8 +8
y = 2x + 8
Plug this into the previous equation.
6x + 3(2x + 8) = 12
Distribute first:
3(2x + 8)
3 * 2x = 6x
3 * 8 = 24
6x + 24
Rewrite the equation:
6x + 6x + 24 = 12
Find liked terms.
6x + 6x + 24 = 12
They are liked terms so combined them: 6x + 6x = 12x.
Rewrite the equation again:
12x + 24 = 12
Solve for "x".
Subtract 24 on both sides.
12x + 24 = 12
-24 -24
12x = -12
Divide 12 to get x by itself.
12x = -12
12
x = -1
Plug x into the second equation to find y.
y - 8 = 2(-1)
y - 8 = -2
Add 8 to both sides.
y - 8 = -2
+8 +8
y = 6
The answers are y = 6 and x = -1.
