Answer
$$x=8$$ $$y=11$$
Work Step by Step
Equation 1: $x + y = 19$
Equation 2: $x - y = -3$
Add equation 1 and equation 2:
$$x + y = 19$$ $$+$$ $$x - y = -3$$ $$=$$ $$2x=16$$
Divide both sides by $2$:
$$\frac{2x}{2}=\frac{16}{2}$$ $$x=8$$
Substitute this value of $x$ to equation 1:
$$x+y=19$$ $$8+y=19$$
Subtract $8$ from both sides:
$$8-8+y=19-8$$ $$y=11$$
Use equation 2 to check:
$$x - y = -3$$ $$8 - 11 = -3$$ $$-3=-3$$