Question

how many linear equations in x and y can have a solution as (x=1,y=3)?​

Answer 1

Note:

1) A point is said to be a solution of a linear equation is the coordinates of the point satisfy the equation.

2) Infinitely many lines can be drawn through a given distinct point.

OR , a point can be a solution of infinitely many linear equations.

Here,

The given point is (1,3).

As we know that, infinitely Many lines passes through a given distinct point.

Thus , the point (1,3) will be the solution of infinitely many linear equations.

Examples of such linear equations are;

1) y = x + 2

2) y = 2x + 1

3) y = 4x - 1

4) y = 3x

.........

......... and many more.

If we put the coordinates of the given point (1,3) in these equations, then it will satisfy them.

Hence,

Infinitely many linear equations in variables x and y can have a solution as

(x=1,y=3) or (1,3).