Question

find the value of y if m is the midpoint of $overline{ln}$.

Explanation:

Step1: Set up the equation

Since $M$ is the mid - point of $\overline{LN}$, then $LM = MN$. So, $9y−4=6y + 5$.

Step2: Isolate the variable terms

Subtract $6y$ from both sides: $(9y−6y)-4=(6y - 6y)+5$, which simplifies to $3y−4 = 5$.

Step3: Isolate the variable

Add 4 to both sides: $3y-4 + 4=5 + 4$, getting $3y=9$.

Step4: Solve for $y$

Divide both sides by 3: $\frac{3y}{3}=\frac{9}{3}$, so $y = 3$.

Answer:

$3$