Question

Solve the system using substitution 2x+2y=38 y=x+3

Answer 1

The second equation gives you an expression for y that can be substituted into the first equation.

... 2x + 2(x+3) = 38 . . . . . x+3 substituted for y

... 2x +2x +6 = 38 . . . . . eliminate parentheses

... 4x = 32 . . . . . . . . . . . subtract 6

... x = 8 . . . . . . . . . . . . . . divide by 4

... y = 8 + 3 = 11 . . . . . . . use the second equation to find y

The solution to the system is (x, y) = (8, 11).