Question

How many solutions does the following equation have?

9x - 4 = - 3x + 5 + 12x
O One Solution
O No Solution
O Infinitely Many Solutions

Answer 1

There will be No solution for the equation
`9x - 4 = - 3x + 5 + 12x`. Option B is correct.

Explanation:

We need to determine how many solutions the equation
`9x - 4 = - 3x + 5 + 12x` have.

Solving the equation and finding the solutions

`9x - 4 = - 3x + 5 + 12x`

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

`9x +3x-12x = 5 + 4`

Simplifying

`12x-12x = 9\\0=9`

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation
`9x - 4 = - 3x + 5 + 12x`. Option B is correct.