Respuesta :

Answer:

Solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.

Step-by-step explanation:

We need to find solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex]

For solving the equation, first we will multiply both sides by 4

[tex]\frac{x-6}{4}=\frac{2}{4}[/tex]

[tex]4\times \frac{x-6}{4}=4\times \frac{2}{4}[/tex]

[tex]x-6=4(\frac{2}{4})[/tex]

Simplifying

[tex]x-6=2[/tex]

Adding 6 on both sides

[tex]x-6+6=2+6x=8[/tex]

So, solution of the proportion: [tex]\frac{x-6}{4}=\frac{2}{4}[/tex] is x=8.

Note: Kindly recheck your options as correct answer is x =8.