Question

x/ab + x/bc + x/ac = a+b+c​

Answer 1

SOLUTION

TO DETERMINE

The value of x when

$\displaystyle \sf{ \frac{x}{ab} + \frac{x}{bc} + \frac{x}{ca} = a + b + c }$

EVALUATION

$\displaystyle \sf{ \frac{x}{ab} + \frac{x}{bc} + \frac{x}{ca} = a + b + c }$

$\displaystyle \sf{ \implies \: x \bigg( \frac{1}{ab} + \frac{1}{bc} + \frac{1}{ca} \bigg) = a + b + c }$

$\displaystyle \sf{ \implies \: x \bigg( \frac{c + a + b}{abc} \bigg) = a + b + c }$

$\displaystyle \sf{ \implies \: x \bigg( \frac{ a + b + c}{abc} \bigg) = a + b + c }$

$\displaystyle \sf{ \implies \: \bigg( \frac{x}{abc} \bigg) = 1 }$

$\displaystyle \sf{ \implies \: x = abc }$

FINAL ANSWER

Hence the required solution is x = abc

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. If x/5 = y/3 then 3x + 5y / … fill in the blanks by choosing correct answer

https://brainly.in/question/39275501

2. if 7m + 4n = 3m + 2n then m/n = ?

https://brainly.in/question/39272649