Which operation is performed to both sides of the equation when solving x/5 - 4 = 2?

Prepare for the ASVAB Arithmetic Reasoning Test. Study with flashcards and multiple choice questions, each question has hints and explanations. Get ready for your exam!

Multiple Choice

Which operation is performed to both sides of the equation when solving x/5 - 4 = 2?

Explanation:
To solve the equation x/5 - 4 = 2, the goal is to isolate the variable x. First, you can start by eliminating the constant on the left side of the equation, which is -4. To do this, you need to perform the opposite operation of subtraction, which is addition. Therefore, by adding 4 to both sides of the equation, you effectively balance the equation and remove the -4 from the left side. When you add 4 to both sides, the equation looks like this: x/5 - 4 + 4 = 2 + 4 This simplifies to: x/5 = 6 Now that the equation is simplified to x/5 = 6, you can proceed to the next steps to isolate x, which would involve multiplying both sides by 5 in the next operation. Thus, adding 4 to both sides is the correct operation to start with in solving the equation.

To solve the equation x/5 - 4 = 2, the goal is to isolate the variable x.

First, you can start by eliminating the constant on the left side of the equation, which is -4. To do this, you need to perform the opposite operation of subtraction, which is addition. Therefore, by adding 4 to both sides of the equation, you effectively balance the equation and remove the -4 from the left side.

When you add 4 to both sides, the equation looks like this:

x/5 - 4 + 4 = 2 + 4

This simplifies to:

x/5 = 6

Now that the equation is simplified to x/5 = 6, you can proceed to the next steps to isolate x, which would involve multiplying both sides by 5 in the next operation.

Thus, adding 4 to both sides is the correct operation to start with in solving the equation.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy