9x - 2y = 73
5x - 9y = 9
Solve for x in one of the equations
5x - 9y = 9
5x - 9y (+9y) = 9 (+9y)
5x = 9y + 9
5x/5 = (9y + 9)/5
x = 9/5y + 9/5
x = 1.8y + 1.8
Plug in 1.8y + 1.8 for x in one of the equations
9(1.8y + 1.8) - 2y = 73.
16.2y + 16.2 - 2y = 73
combine like terms
14.2y + 16.2 = 73
isolate the y, subtract 16.2 from both sides
14.2y + 16.2 (-16.2) = 73 (-16.2)
14.2y = 56.8
Divide 14.2 from both sides to isolate the y
14.2y/14.2 = 56.8/14.2
y = 56.8/14.2
y = 4
Plug in 4 into one of the equations for y
9x - 2(4) = 73
9x - 8 = 73
Isolate the x, add 8 to both sides
9x - 8 (+8) = 73 (+8)
9x = 73 + 8
9x = 81
Divide 9 from both sides to isolate the x
9x/9 = 81/9
x = 81/9
x = 9
x = 9, y = 4
hope this helps
