Question

50 POINTS!! Please help tysm :) image is attached (sorry about the quality); find the value of x. the answer key says x=10, but I'm not sure how to get there.
please don't put an unrelated answer or just repeat the answer for the points :) I would like a step by step explanation ​

Answer 1

Answer:

$\: x = 10$

Step-by-step explanation:

prefer the attachment

according to the question

$\displaystyle \: \frac{6}{17.5-x} = \frac{8 + 6}{17.5}$

simplify addition:

$\displaystyle \: \frac{6}{17.5-x} = \frac{14}{17.5 }$

simplify fraction;

$\displaystyle \: \frac{6}{17.5 - x} = 0.8$

cross multiplication:

$\displaystyle 6 = 14 - 0.8x$

cancel 14 from both sides:

$\displaystyle - 8= - 0.8x$

divide both sides by -0.8:

$\therefore \: x = 10$