Question

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

Equations

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

2021-02-12

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