# How do you solve the system #x − 2y = 14# and #x + 3y = 9 # by substitution?

##### 1 Answer

May 24, 2015

Replace one of the variables in one of the expressions with its value from the other expression and then solve.

x - 2y = 14 means that x = 14 + 2y

x + 3y = 9 means that (14 +2y) + 3y = 9

5y = 9 - 14 = -5

y = -1

x = 14 +2y = 14 - 2 = 12