Question

1. Which equation is equivalent to the equation 6x + 9 = 12?

A. x +9=6
B. 2x + 3 = 4
C. 3x + 9 = 6
D. 6x + 12 = 9​

Answer 1

Hope this helps

- Que

Answer:

B. 2x + 3 = 4

Explanation:

6x + 9 = 12

Find this out by solving for x start with subtraction property of equality.

6x = 3

Division property of equality

x = 3/6 or x = 0.5

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Now insert the value of x to check other answers starting with A

0.5 + 9 = 6

9.5 = 6 is incorrect so not A.

Now B

2(0.5) + 3 = 4

1 + 3 = 4

4 = 4 is correct so B is your answer

Now C

3(0.5) + 9 = 6

1.5 + 9 = 6

10.5 = 6 is incorrect so not C

Lastly D

6(0.5) + 12 = 9

3 + 12 = 9

15 = 9 is incorrect so not D either.

Answer 2

B

Explanation:

if we divide both sides of 6x + 9 = 12 by 3

(6x + 9)/3 = 12/3

2x + 3 = 4 ---> which matches choice B