x/7 − 4 = − 6

Question

Give a step by step explanation with a reasoning for each step used in the process.

Answer 1

To solve the equation x/7 - 4 = -6, we need to isolate the variable x.

Step 1: First, we can start by eliminating the constant term -4 by adding 4 to both sides of the equation.
x/7 - 4 + 4 = -6 + 4
This simplifies to:
x/7 = -2

Step 2: Next, we can multiply both sides of the equation by 7 to eliminate the fraction.
7(x/7) = 7(-2)
This simplifies to:
x = -14

Step 3: Therefore, the solution to the equation is x = -14.

Answer 2

Shawnece is solving the equation x7 − 4 = −6 . One of her steps is to multiply both sides of the equation by 7. Why?

Multiplying both sides by 7 undoes the addition in the original problem.

Multiplying both sides by 7 undoes the subtraction in the original problem.

The negative sign in −6 must be changed to positive.

Multiplying both sides by 7 undoes the division of x by 7 in the original problem.

Answer 3

The correct answer is: Multiplying both sides by 7 undoes the division of x by 7 in the original problem.