Question

an equation is shown below: 2(7x − 3) = 9 which of the following correctly shows the beginning steps to solve this equation? step 1: 14x − 3 = 9 step 2: 14x = 12 step 1: 14x − 6 = 9 step 2: 14x = 15 step 1: 9x − 3 = 9 step 2: 9x = 12 step 1: 7x − 1 = 9 step 2: 7x = 10

Answer 1

Option 2nd is correct

Step 1.

`14x -6 = 9`

Step 2.

14x = 15

Explanation:

The distributive property says that:

`a \cdot (b+c) = a\cdot b+ a\cdot c`

An equation is shown below:

`2(7x-3)=9`

Apply the distributive property we have;

`2 \cdot (7x) - 2\cdot 3 = 9`

Simplify:

`14x -6 = 9`

Add 9 to both sides we have;

`14x = 15`

Therefore, the beginning steps to solve the given equation is,

Step 1.

`14x -6 = 9`

Step 2.

14x = 15

Answer 2

2(7x - 3) = 9...distribute thru the parenthesis
14x - 6 = 9....add 6 to both sides
14x = 15

those are the beginning steps