Answer:
x = 30
y = 54
Explanation:
You want the solution to the system of equations ...
- 2x +12 +2y = 180
- 4x +y +6 = 180
Solution
Divide the first equation by 2 and subtract the result from the second equation.
(4x +y +6) -(2x +12 +2y)/2 = (180) -(180)/2
3x = 90 . . . . . . . simplify
x = 30 . . . . . . . . divide by 3
4(30) +y +6 = 180 . . . . substitute into the second equation
y = 180 -126 = 54
The values of x and y are ...
x = 30
y = 54
__
Additional comment
A suitable graphing calculator can find the solution using the equations "as is."