Question

How many solutions does this equation have? 4x 2x + 1 2(X + 8) + 1/3x two infinitely many none one

Answer 1

The equation has infinte solutions.

Step-by-step explanation

We need to solve the equation to know the number of solutions it has

`4x-(7)/(4)x+14=(7)/(4)(x+8)+(1)/(2)x`

Multiply through by 4

`\begin{gathered} 4x-(7)/(4)x+14=(7)/(4)(x+8)+(1)/(2)x \\ 16x-7x+56=7(x+8)+2x \\ 9x+56=7x+56+2x \\ 9x+56=9x+56 \\ 9x-9x=56-56 \\ 0=0 \end{gathered}`

This shows that the equation has infinite solutions.

Hope this Helps!!!