Question

How many linear equations in x & y can be satisfied by x = 5 & y = 7
Infinitely many
three
two
only one
​

Answer 1

Infinitely many

Hope it will help.....

Answer 2

Step-by-step explanation:

Solution type -I

Let the linear equation be ax + by + c = 0.

On putting x = 5 and y = 7, in above equation we get

=5a + 7b + c = 0, where a, b and c, are real number

Here, different values of a, b and c satisfy 5a + 7b + c = 0. Hence, infinitely many linear equations in x and y can be satisfied by x = 5and y = 7.

SOLUTION type -2

A linear equation in two variable is of the form ax+by+c=0.

We have x=5 and y=7 but we can choose a,b,c accordingly and they can attain infinite values. So, Infinite such equations exist.