Solve by the substitution method. What is the solution of the system?

3x+9y=48
-6x+y=56

1 answer

To use the substitution method, you solve one equation for x, and then substitute that expression for x in the other equation. or, you can solve for y if it's easier.

3x + 9y = 48
3x = 48 - 97
x = 16 - 3y

-6x + y = 56
-6(16-3y) + y = 56
-96 + 19y = 56
19y = 152
y = 8
so,
x = 16 - 24 = -8