Question

What is Lin's approach to solving the equation 7(x+2) = 91?

A. Dividing each side by 7
B. Factoring the equation
C. Using the distributive property
D. Taking the square root

Answer 1

To solve the equation 7(x+2) = 91, Lin should divide each side by 7, subtract 2 from both sides to isolate x, and then check that the solution x = 11 satisfies the original equation.

Step-by-step explanation:

To solve the equation 7(x+2) = 91, Lin should use approach A: Dividing each side by 7. This is because the equation can be simplified by eliminating the coefficient from the variable x. Here are the steps:

1. Setup the original equation: 7(x+2) = 91.
2. Divide both sides of the equation by 7 to isolate (x+2): (x+2) = 91 / 7.
3. Calculate the right side: (x+2) = 13.
4. Subtract 2 from both sides to solve for x: x = 13 - 2.
5. Get the final answer: x = 11.

Lastly, we can check if the answer is reasonable by substituting x back into the original equation to see if the equation holds true: 7(11+2) should equal 91, which it does.

Answer 2

A

Step-by-step explanation:

given the equation

7(x + 2) = 91 ( divide each side by 7 )

`(7)/(7)` (x + 2) =
`(91)/(7)` ( simplify both sides )

x + 2 = 13 ( subtract 2 from both sides )

x + 2 - 2 = 13 - 2 , that is

x = 11