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Grade 12th passAlgebra

if b/y+z/c=1 and c/z+x/a=1,then what is (ab+xy)/bx equal to ?

babi

8 Years agoGrade 12th pass

3 Answers

RAHUL ROHILLA

8 Years ago

Deepak Kumar Shringi

8 Years ago

Sami Ullah

8 Years ago

Its equal to ‘1’.First of all find the value of $\frac{c}{z}$ from first equation and then put it in the second equation.Just do some steps and you will be there.

$\frac{b}{y}+\frac{z}{c}=1$

$\frac{z}{c}=1-\frac{b}{y}$

$\frac{z}{c}=\frac{y-b}{y}$

$\frac{c}{z}=\frac{y}{y-b}$

Now putting the value in other equation,

$\frac{y}{y-b}+\frac{x}{a}=1$

$\frac{ay+(y-b)x}{a(y-b)}=1$

$ay+xy-bx=a(y-b)$

$ay+xy-bx=ay-ab$

$ay-ay+ab+xy-bx=0$

$ab+xy=bx$

$\frac{ab+xy}{bx}=1$

Correct me if you find any mistakes.

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