Question

if eg = 71, find the value of x.
8x - 17
5x - 3
e
f
g

Explanation:

Step1: Set up equation

Since $EG = EF+FG$ and $EG = 71$, $EF=8x - 17$, $FG = 5x-3$, we have the equation $(8x - 17)+(5x - 3)=71$.

Step2: Simplify left - hand side

Combine like terms: $8x+5x-17 - 3=71$, which simplifies to $13x-20 = 71$.

Step3: Isolate the variable term

Add 20 to both sides of the equation: $13x-20 + 20=71 + 20$, resulting in $13x=91$.

Step4: Solve for x

Divide both sides by 13: $\frac{13x}{13}=\frac{91}{13}$, so $x = 7$.

Answer:

$x = 7$