x−10y=60
x+14y=12
Since −10y does not contain the variable to solve for, move it to the right-hand side of the equation by adding 10y to both sides.
x=10y+60
x+14y=12
Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is 10y+60.
x=10y+60
(10y+60)+14y=12
Remove the parentheses around the expression 10y+60.
x=10y+60
10y+60+14y=12
Since 10y and 14y are like terms, add 14y to 10y to get 24y.
x=10y+60
24y+60=12
Since 60 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 60 from both sides.
x=10y+60
24y=−60+12
Add 12 to −60 to get −48.
x=10y+60
24y=−48
Divide each term in the equation by 24.
x=10y+60
24y 24 =−48 24
Simplify the left-hand side of the equation by canceling the common factors.
x=10y+60
y=−48 24
Simplify the equation.
x=10y+60
y=−2
Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is −2.
x=10(−2)+60
y=−2
Multiply 10 by each term inside the parentheses.
x=−20+60
y=−2
Add 60 to −20 to get 40.
x=40
y=−2