The difference of six times a number and seven results in 35.

Question

Identify the steps necessary to solve the equation.

Divide by 6, and then add 7.
Add 7, and then divide by 6.
Divide by 6, and then subtract 7.
Subtract 7, and then divide by 6.

Answer 1

To solve the equation based on the statement: "The difference of six times a number and seven results in 35", we can set up the equation as follows:

Let the unknown number be represented by \( x \).

The equation can be expressed as: \[ 6x - 7 = 35 \]

Now, to solve for \( x \), we need to isolate the variable. The steps to do this would be:

1. Add 7 to both sides of the equation to eliminate the -7 on the left side: \[ 6x - 7 + 7 = 35 + 7 \] \[ 6x = 42 \]

2. Then divide both sides by 6 to solve for \( x \): \[ x = \frac{42}{6} \] \[ x = 7 \]

Thus, the correct steps to solve the equation are:

• Add 7, and then divide by 6.

So the answer is: Add 7, and then divide by 6.