Question

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

Answer 1

Answer

The equation has infinte solutions.

Explanation

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

$4x-\frac{7}{4}x+14=\frac{7}{4}(x+8)+\frac{1}{2}x$

Multiply through by 4

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

This shows that the equation has infinite solutions.

Hope this Helps!!!