Question

If 6:2=8:x, then a. 6x = 16 b. 6x = 10 c. 2x = 48 d. 2x = 14

Answer 1

Answer:

6x = 16

Step-by-step explanation:

Given:

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

The equation can be rewritten as:

$\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}$

Multiply both sides by 2x.

$\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}$

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!