Answer: y = 6; x = 12
Explanation:
3x - 30 = y
Change this into an equation where x and y are in the same side.
3x - 30 = y
Subtract y from both sides
3x - y - 30 = 0
Add 30 to both sides
3x - y = 30
7y - 6 = 3x
Do the same thing I did to the first equation
7y - 6 = 3x
Subtract 3x from both sides
-3x + 7y - 6 = 0
Add 6 to both sides
-3x + 7y = 6
We can now use the system of elimination to find x and y.
3x - y = 30
-3x + 7y = 6
After adding both equations, you get:
6y = 36
Divide 6 from both sides
y = 6
Since we now know y, we can solve for x.
3x - 30 = y
Substitute y for 6
3x - 30 = 6
Add 30 to both sides
3x = 36
Divide both sides by 3
x = 12
Hope this helped!