Answer
$$x = 2$$
Work Step by Step
$y_{1} = 13x - 4$ equation 1
$y_{2} = 5x + 10$ equation 2
$y_{1}$ exceeds $y_{2}$ by 2 --> $y_{1}$= $y_{2}$ +2 equation 3
Substitute equations 1 & 2 to equation 3:
$$(13x - 4) = (5x + 10) +2$$
Remove the parentheses:
$$13x - 4 = 5x + 10+2$$ $$13x - 4 = 5x + 12$$
Add 4 to both sides:
$$13x - 4 +4 = 5x + 12 + 4$$ $$13x = 5x + 16$$
Simplify:
$$8x = 16$$
Divide both sides by 8
$$x = 2$$
