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

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

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Consider the following system of linear equations:
$5x-2y=-7$...(1)
$x=-2y+1$...(2)
Substitute equation (1) in equation (2):
$5\left(-2y+1\right)-2y=-7$
$-10y+5-2y=-7$
$-12y=-7-5$
$-12y=-12$
$y=1$
$x=-2×1+1$
$=-2+1$
$=-1$

Jeffrey Jordon