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

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