Question

Which of the following are solutions to | x + 4 |= 3x-5

Answer 1

X= 9/2

X= 4.5

X= 4 1/2

Answer 2

Answer: 9/2

Explanation:

1.Break down the problem into these 2 equations.

x+4=3x−5

−(x+4)=3x−5

2. Solve the 1st equation: x+4=3x−5.

x=9/2

3. Solve the 2nd equation: −(x+4)=3x−5

x=1/4

4. Collect all solutions.

x=1/4,9/2

5. Check solution

When x=1/4​​, the original equation ∣x+4∣=3x−5 does not hold true.

We will drop x=1/4​​ from the solution set.

6. Therefore,

x=9/2