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.