Question

Consider this equation: 9x - 7 - 3x + 9 = x + 7 + 5x + 9. How many solutions does this equation have?

Answer 1

Explanation:

9x - 7 - 3x + 9 = x + 7 + 5x + 9

6x + 2 = 6x + 16

2 = 16

Since 2 = 16 is false, there exist no real solutions for x.

Answer 2

Final Answer: No Solution. The equation would have 0 solutions.

Steps/Explanations:

Hey there! The answer is No Solution because -7 = 7. If 7 = 7, then it would be true and have one solution, which is not the case here.

Step 1: You should cancel
`9` on both sides.

`9x - 7 - 3x = x + 7 + 5x`

Step 2: Simplify
`9x - 7 - 3x` to
`6x - 7`.

`6x - 7 = x + 7 + 5x`

Step 3: Simplify
`x + 7 + 5x` to
`6x + 7`.

`6x - 7 = 6x + 7`

Step 4: You'll need to cancel
`6x` on both sides.

`- 7 = 7`

Step 5: Since
`-7 = 7` is false, there would be no solution.

No Solution

~I hope I helped you :)~