Math Snap

STEP 1

Assumptions1. The equation is $\frac{x+7}{5}=15$
. We need to perform two operations on both sides to solve the equation

STEP 2

To solve the equation, we need to isolate the variable $x$. Looking at the equation, we see that $x+7$ is divided by $5$. To undo this operation, we should multiply both sides by $5$ first. This will cancel out the division by $5$ on the left side of the equation.
So the correct operation sequence is Multiply both sides by $5$ first, then subtract $7$ from both sides. Therefore, the correct answer for part (a) is option C.

STEP 3

Now, let's solve the equation $\frac{x+7}{5}=15$ using the operations identified in the previous step.
First, multiply both sides by $5$$$5 \times \frac{x+7}{5} =5 \times15$$

STEP 4

implify both sides of the equation$$x +7 =75$$

STEP 5

Next, subtract $7$ from both sides to isolate $x$$$x +7 -7 =75 -7$$

implify both sides of the equation to find the solution$$x =68$$So, the solution for part (b) is $x =68$.