# Solve the following system of linear equations in two variables by Substitution method. x=8-2y 2x+3y=13

Question
Equations
Solve the following system of linear equations in two variables by Substitution method.
x=8-2y
2x+3y=13

2021-01-09
Consider the following system of linear equations:
x=8-2y...(1)
2x+3y=13...(2)
Substitute equation (1) in equation (2):
2(8-2y)+3y=13
16-4y+3y=13
-y=13-16
-y=-3
y=3
$$\displaystyle{x}={8}-{2}\times{3}$$
=8-6
=2

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