Question

1/2(4x-9)=2x+8

A.
exactly one real solution,

B.
no real solutions
C.
infinite real solutions

D.
exactly one real solution,

Answer 1

Let us first try and solve this equation to see how many solutions are for this equation.

We need to have x on one side of the equation and everything on the opposite side of x.

1/2(4x - 9) = 2x + 8 ; Start
2x - 4.5 = 2x + 8 ; Distribute the 1/2 across 4x and -9
2x = 2x + 12.5 ; Add 4.5 to each side of the equation
0 = 12.5 ; Subtract 2x from each side of the equation

As we can clearly see, this equation has 0 answers.