Question

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

Explanation:

Step1: Substitute $y=x+5$ into second equation

$x - (x + 5) = 2$

Step2: Simplify and solve for $x$

$x - x - 5 = 2 \implies -5 = 2$

Answer:

This system of equations has no solution (it is inconsistent, as the substitution leads to a false statement).