Question

6x + 4x - 6 = 24 + 9x

Solve the equation and show your work. Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither.

Answer 1

okay so basically i like to switch it around, you dont have to though.

1 Simplify 6x+4x-66x+4x−6 to 10x-610x−6

10x-6=24+9x1

2 Add 66 to both sides

10x=24+9x+610x=24+9x+6

3: Simplify 24+9x+624+9x+6 to 9x+309x+30

10x=9x+3010x=9x+30

4 Subtract 9x9x from both sides

10x-9x=3010x−9x=30

5 Simplify 10x-9x10x−9x to xx

x=30

Answer 2

x = 30 it has only one solution equation is neither .

Explanation:

Given : 6x + 4x - 6 = 24 + 9x .

To find: Solve the equation .

Solution: we have given that

6x + 4x - 6 = 24 + 9x .

Combine like term

10x - 6 = 24 + 9x

On subtracting both side by 9x

10x -9x -6 = 24 + 9x -9x

x -6 = 24

On addition both side by 6

x - 6 + 6 = 24 + 6

so , x = 30

Therefore , x = 30 it has only one solution equation is neither .