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14 votes
What value of x makes the equation true 3/4x + 9 = 3

A. x = -8
B. x= -1/2
C. x = 1
D. x = 16

2 Answers

3 votes

Answer:

x = -8

Explanation:

Subtract 9 both sides:

⇒ 3/4x + 9 = 3

⇒ 3/4x + 9 - 9 = 3 - 9

Simplify the L.H.S and the R.H.S:

⇒ 3/4x = -6

Use cross multiplication:

⇒ 3x/4 = -6

⇒ 3x = -6 × 4

Simplify the R.H.S:

⇒ 3x = -6 × 4

⇒ 3x = -24

Divide 3 both sides:

⇒ 3x/3 = -24/3

x = -8

User Steven J Owens
by
2.9k points
5 votes

Answer:


  • \boxed{\sf{A. \quad X=-8}}

Explanation:

To find the value of x, isolate it on one side of the equation.

3/4x+9=3

First, subtract by 9 from both sides.

3/4x+9-9=3-9

Solve.

3-9=-6

Rewrite the problem down.

3/4x=-6

Multiply by 4 from both sides.

4*3/4x=4(-6)

Solve.

3x=-24

Then, you divide by 3 from both sides.

3x/3=-24/3

Solve.

Divide these numbers goes from left to right.

-24/3=-8

x=-8

  • Therefore, the correct answer is A. x=-8.

Variables and negative signs should appear in the answer.

I hope this helps you! Let me know if my answer is wrong or not.

User Alex Kudryashev
by
3.2k points