Respuesta :

Answer:

x=3

Explanation:

Given the equation:

[tex]8-\frac{3}{x}=7[/tex]

We want to solve for x using the trial and error method.

To do this, we pick values of x from 1 and test to see if it satisfies the equation.

(a)When x=1

[tex]\begin{gathered} 8-\frac{3}{1}=8-3=5 \\ 5\neq7 \end{gathered}[/tex]

x=1 is not a solution.

(b)When x=2

[tex]\begin{gathered} 8-\frac{3}{2}=8-1.5=6.5 \\ 6.5\neq7 \end{gathered}[/tex]

x=2 is not a solution.

(c)When x=3

[tex]8-\frac{3}{3}=8-1=7[/tex]

x=3 is a solution.

The solution to the equation is x=3.