Question

How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13? (4 points) none or one or two or infinitrly many

Answer 1

Hi there!


`- 4x - 11 = 2(x - 3x) + 13`
First we work out the parenthesis.


`- 4x - 11 = 2x - 6x + 13`
Collect terms.


`- 4x - 11 = - 4x + 13`
Add 11 to both sides of the equation.


`- 4x = - 4x + 24`
Now we can conclude that this equation does not have any solutions, because the right side of the equation will always be 24 bigger. There are no values of x that make the equation true.