How many linear equations in x and y can be satisfied by x = 1 and y = 2
a. Only one
b. Two
c. Infinitely many
d. Three

Solution:

Consider the linear equation as ax + by + c = 0

The points given are x = 1 and y = 2

So we get

a + 2b + c = 0

Where a, b and c are real numbers

Here different values satisfy the equation

Infinitely many linear equations in x and y can be satisfied.

Therefore, infinitely many linear equations in x and y can be satisfied.

✦ Try This: How many linear equations in x and y can be satisfied by x = 2 and y = 3 a. Infinitely many, b. Two, c. Only one, d. Three

Consider the linear equation as ax + by + c = 0

The points given are x = 2 and y = 3

So we get

2a + 3b + c = 0

Where a, b and c are real numbers

Here different values satisfy the equation

Infinitely many linear equations in x and y can be satisfied.

Therefore, infinitely many linear equations in x and y can be satisfied.

☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 17

How many linear equations in x and y can be satisfied by x = 1 and y = 2 a. Only one, b. Two, c. Infinitely many, d. Three

Summary:

A linear equation is an equation in which the highest power of the variable is always 1. Infinitely many linear equations in x and y can be satisfied by x = 1 and y = 2

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