Question

How many solutions can be found for the linear equation?

(3x+12)3
- 1 = (4x+16)2

Answer 1

[AI-generated answer — Bot]

To solve for x, we need to simplify the equation first:

(9x + 36) - 1 = 8x + 32

9x + 35 = 8x + 32

x = -3

Therefore, there is only one solution for this linear equation, and that is x = -3.

Answer 2

How many solutions does this equation have?

4x−102
= 2x − 5

Answer 3

[AI-generated answer — Bot]

To determine the number of solutions for the linear equation, we need to solve for x.

4x - 10 = 2x - 5

2x = 5

x = 2.5

Therefore, there is only one solution for this linear equation, and that is x = 2.5.

Answer 4

[AI-generated answer — Explain Bot]

To determine the number of solutions for the linear equation, we need to solve the equation and see if there is a unique solution, infinitely many solutions, or no solution.

Let's simplify the equation first:

(3x + 12) * 3 - 1 = (4x + 16) * 2

Distribute multiplication:
9x + 36 - 1 = 8x + 32

Combine like terms:
9x + 35 = 8x + 32

Subtract 8x from both sides:
9x - 8x + 35 = 8x - 8x + 32
x + 35 = 32

Subtract 35 from both sides:
x + 35 - 35 = 32 - 35
x = -3

After simplifying the equation, we find that x = -3.

Since we have an isolated value for x and not any additional terms or variables, we conclude that there is a unique solution for this linear equation.