Question

Find three different solution of the equation

13x - 12y = 25

Answer 1

Given equation $13x-12y=25$

(i)$13x-12y=25$

If $y=1$ put in equation we get

$13x-12\times 1=25$

$\Rightarrow 13x-12=25$

$\Rightarrow 13x=25+12=37$

$\Rightarrow x=\frac{37}{13}$

$(\frac{37}{13},1)$

(ii)$13x-12y=25$

If $y=2$ put in equation we get

$13x-12\times 2=25$

$\Rightarrow 13x-24=25$

$\Rightarrow 13x=25+24=49$

$\Rightarrow x=\frac{49}{13}$

$(\frac{49}{13},2)$

(iii)$13x-12y=25$

If $y=3$ put in equation we get

$13x-12\times 3=25$

$\Rightarrow 13x-36=25$

$\Rightarrow 13x=25+36=61$

$\Rightarrow x=\frac{61}{13}$

$(\frac{61}{13},3)$