Problem

Given segment $P S$ and point $R$ that lies on $P S$, find $P R$ if $P S=7, P R=-24-7 x$, and $S R=-13-4 x$

Answer

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Answer

Simplifying this, we find that $P R = 4$.

Steps

Step 1 ：We are given that $P S = 7$, $P R = -24-7 x$, and $S R = -13-4 x$.

Step 2 ：We know that $P S = P R + R S$.

Step 3 ：Substituting the given values into the equation, we get $7 = -24-7 x + -13-4 x$.

Step 4 ：Solving this equation, we find that $x = -4$.

Step 5 ：Substituting $x = -4$ into the equation for $P R$, we get $P R = -24-7(-4)$.

Step 6 ：Simplifying this, we find that $P R = 4$.

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