Question

ALPHA WHERE ARE YOU?

An equation is shown below:

7(2x − 3) = 1

Which of the following correctly shows the first two steps to solve this equation?

Step 1: 9x − 7 = 1; Step 2: 9x = 8
Step 1: 9x + 4 = 1; Step 2: 9x = −3
Step 1: 14x − 3 = 1; Step 2: 14x = 4
Step 1: 14x − 21 = 1; Step 2: 14x = 22

Answer 1

Answer:

Step 1: 14x − 21 = 1; Step 2: 14x = 22

Explanation:

7(2x−3)=1

Step 1: Simplify both sides of the equation

7(2x−3)=1

(7)(2x)+(7)(−3)=1(Distribute)

14x+−21=1

14x−21=1

Step 2: Add 21 to both sides

14x−21+21=1+21

14x=22

Step 3: Divide both sides by 14

14x / 14 = 22 / 14

x = 22 / 14: x = 11/7

Answer 2

Answer:

The last option.

Step-by-step explanation:

When distributed, 7 times 2x becomes 14x and 7 times -3 is -21.

Once you add -21 to both sides, 14x is left alone on one side while 22 is on the other