Use the substitution method to find solution sets (x,y) for the following systems of equations:

Question

3x-5y=-11
6x+2y=26

Answer 1

3x-5y=-11 (A)
6x=2y=26 (B)
(A)*(2)6x-10y=-22(C)
(B)*(5)30x+10=130(D)
(C)+(D)36x =108
108/36=3
x=3

substitute in (A) or (B) choose easiest
(B)- 18+2y=26 (take 18 from both sides
2y=8
8/2
y=4

so x=3 and y=4
(3,4)