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

Question

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

Answer 1

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