Solve the linear system using both substitution and elimination:

Question

1. a) x + 2y = 11

x + 3y = 16

Answer 1

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

subtract the 1st equation from the 2nd

3y-2y = 16-11 = 5

y = 5

plug that value into either original equations to solve for x=1