Question

find three solutions for 13x-12y=25

Answer 1

x=25-12y/13
then X and y valve are infinite

Answer 2

Answer:

The three solutions are $(0,-\frac{25}{12}),(\frac{25}{13},0),(1,-1)$

Step-by-step explanation:

Given : Equation $13x-12y=25$

To find : Three solutions for the equation ?

Solution :

Solution of the equation is the points where the equation satisfied.

Equation $13x-12y=25$

Put x=0,

$13(0)-12y=25$

$-12y=25$

$y=-\frac{25}{12}$

The one solution is $(0,-\frac{25}{12})$

Put y=0,

$13x-12(0)=25$

$13x=25$

$x=\frac{25}{13}$

The second solution is $(\frac{25}{13},0)$

Put x=1,

$13(1)-12y=25$

$13-12y=25$

$-12y=12$

$y=-\frac{12}{12}$

$y=-1$

The third solution is $(1,-1)$

Therefore, The three solutions are $(0,-\frac{25}{12}),(\frac{25}{13},0),(1,-1)$