Solve x - 10y=60 and x + 14y=12

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

20-10*6=60 and 20+14/8=12