Question

5
solve the system of equations by substitution:
$y = x + 5$
$x - y = 2$

Explanation:

Step1: Substitute $y=x+5$ into 2nd equation

$x - (x + 5) = 2$

Step2: Simplify left-hand side

$x - x - 5 = 2$
$-5 = 2$

Answer:

There is no solution to this system of equations, as $-5=2$ is a false statement, meaning the lines are parallel and never intersect.