Answer
$$x=-4$$ $$y=1$$
Work Step by Step
Equation 1: $3x - 2y = -14$
Equation 2: $y = x + 5$
Substitute equation 2 to equation 1:
$$3x - 2y = -14$$ $$3x - 2(x + 5) = -14$$ $$3x - 2x - 10 = -14$$ $$x-10=-14$$
Add $10$ to both sides:
$$x-10+10=-14+10$$ $$x=-4$$
Substitute this value of $x$ to equation 2:
$$y = x + 5$$ $$y = -4 + 5$$ $$y=1$$
Use equation 1 to check:
$$3x - 2y = -14$$ $$3(-4) - 2(1) = -14$$ $$-12 - 2 = -14$$ $$-14=-14$$
