Question

Solve the following system of linear equations in two variables by Substitution method.5x-2y=-7x=-2y+1

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asked 2021-02-11

Solve the following system of linear equations in two variables by Substitution method.
\(5x-2y=-7\)
\(x=-2y+1\)

Answers (1)

2021-02-12

Consider the following system of linear equations:
\(5x-2y=-7\)...(1)
\(x=-2y+1\)...(2)
Substitute equation (1) in equation (2):
\(5(-2y+1)-2y=-7\)
\(-10y+5-2y=-7\)
\(-12y=-7-5\)
\(-12y=-12\)
\(y=1\)
\(\displaystyle{x}=-{2}\times{1}+{1}\)
\(=-2+1\)
\(=-1\)

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