Question

Solve the following system of equations using Substitution, showing all work.

2x+y=9
3x−2y=17

Answer 1

(x,y)=(5,-1)

Explanation:

1. 2x+y=9 ---> y=9-2x

2. Substitute y=9-2x into 3x-2y=17 ---> 3x-2(9-2x)=17 ---> 3x-18+4x=17 --> 7x=35 ---> x=5.

3. Substitute x=5 into 2x+y=9 ---> 2*5+y=9 ---> y=9-10 ---> y= -1