Question

If 6:2=8:x, then

a. 6x = 16
b. 6x = 10
c. 2x = 48
d. 2x = 14

Answer 1

6x = 16

Explanation:

Given:

`\displaystyle \large{6:2 = 8:x}`

The equation can be rewritten as:

`\displaystyle \large{(6)/(2)=(8)/(x)}`

Multiply both sides by 2x.

`\displaystyle \large{(6)/(2)\cdot 2x=(8)/(x)\cdot 2x}`

Simplify the equation in simplest form.

`\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}`

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!