QuestionSolve $\frac{x+7}{5}=15$ by stating the order of two operations. Then, find $x$ . What is $x=\square$ ?

Studdy Solution

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 $x$ $x +7 -7 =75 -7$

STEP 6

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

Was this helpful?

QuestionSolve $\frac{x+7}{5}=15$ by stating the order of two operations. Then, find $x$ . What is $x=\square$ ?

Studdy Solution

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

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 $x$ $x +7 -7 =75 -7$

STEP 6

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

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve x+75=15\frac{x+7}{5}=155x+7​=15 by stating the order of two operations. Then, find xxx. What is x=□x=\squarex=□?

Studdy Solution

STEP 1

Assumptions1. The equation is x+75=15\frac{x+7}{5}=155x+7​=15 . We need to perform two operations on both sides to solve the equation

STEP 2

STEP 3

Now, let's solve the equation x+75=15\frac{x+7}{5}=155x+7​=15 using the operations identified in the previous step.First, multiply both sides by 5555×x+75=5×155 \times \frac{x+7}{5} =5 \times155×5x+7​=5×15

STEP 4

implify both sides of the equationx+7=75x +7 =75x+7=75

STEP 5

Next, subtract 777 from both sides to isolate xxxx+7−7=75−7x +7 -7 =75 -7x+7−7=75−7

STEP 6

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

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve $\frac{x+7}{5}=15$ by stating the order of two operations. Then, find $x$ . What is $x=\square$ ?

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

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

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

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 $x =68$ .