Question

1. if p is the midpoint of $overline{xy}$, $xp = 8x - 2$, and $py = 12x - 30$, find the value of x.

Explanation:

Step1: Set XP equal to PY

$8x - 2=12x - 30$

Step2: Rearrange terms

$30 - 2=12x - 8x$

Step3: Simplify and solve for x

$28 = 4x$, so $x = 7$

Answer:

$x = 7$