Find any two solutions of the given linear equation in two variables where a and b are constants : $a x + b y = 5$

Open in App

Solution

Let $x = 0$
Then $a (0) + b y = 5$ ;
$b y = 5$
$y = \frac{5}{b}$

So one solution will be $x = 0; y = \frac{5}{b}$
Let $y = 0$ ;
Then $a (x) + b (0) = 5$ ;
$a x = 5$
$x = \frac{5}{a}$

Other solution will be $x = \frac{5}{a}; y = 0$

Suggest Corrections

Similar questions

a x + b y + c = 0

a

b

c

The equation: ax + by + c = 0 completely describes a linear equation in two variables where a, b, and c are real numbers.

a

b

0

a x + b y = c

For the linear equation in two variables: ax + by = c, the positive solutions lie in the ______ quadrant.

x

y

Join BYJU'S Learning Program