The solutions to the systems of equations are x = 30 and y = 54
The correct linear equation is expressed as:
4x+y+6=180 ................1
2x+2y+12=180 .................2
The equations can also be written as:
4x + y = 174 .................... 3 × 2
2x + 2y = 168 ................... 4 × 1
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8x + 2y = 348
2x + 2y = 168
Subtract both equations
8x - 2x = 348 - 168
6x = 180
x = 180/6
x = 30
Substitute x = 30 into equation 3:
4x + y = 174
4(30) + y = 174
120 + y = 174
y = 174 - 120
y = 54
Therefore the solutions are x = 30 and y = 54
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