Question

Solve the following system of equations using the substitution method.

y=3x-10
3y-x=2

Answer 1

Plug y=3x-10 into 3y-x=2 and solve for x.

3(3x-10)-x=2 distribute

9x-30-x=2 Combine 9x with -x and add 30 to each side.

8x=32 divide 8 each side

x=4, now plug x=4 into y=3x-10 and solve for y

y=3(4)-10
y=12-10
y=2

Answer: x=4 and y=2