Another way to solve it
2x + y = 60 –given
y = 60 - 2x –solve for y
x + 2y = 75 –given
x + 2(60 - 2x) = 75 –replace y with 60-2x
x + 120 - 4x = 75 –distribute 2
120 - 3x = 75 –simplify
120 = 3x + 75 –add 3x to both sides
120 - 75 = 3x –subtract 75 from both sidex
45 = 3x –simplify
x = 15 –divide both sides by 3
2(15) + y = 60 –replace x with 15
30 + y = 60 –multiply
y = 60 - 30 –subtract 30 from both sides
y = 30 –simplify
Another way to solve it
2x + y = 60 –given
y = 60 - 2x –solve for y
x + 2y = 75 –given
x + 2(60 - 2x) = 75 –replace y with 60-2x
x + 120 - 4x = 75 –distribute 2
120 - 3x = 75 –simplify
120 = 3x + 75 –add 3x to both sides
120 - 75 = 3x –subtract 75 from both sidex
45 = 3x –simplify
x = 15 –divide both sides by 3
2x + y = 60 –given
2(15) + y = 60 –replace x with 15
30 + y = 60 –multiply
y = 60 - 30 –subtract 30 from both sides
y = 30 –simplify