The linear equation 2x - 5y = 7 has
a. A unique solution
b. Two solutions
c. Infinitely many solutions
d. No solution

Solution:

Given

2x - 5y = 7

By rearranging

5y = 2x - 7

So we get

y = (2x - 7)/ 5

Here we will get different values of y for various x values

Therefore, the linear equation has infinitely many solutions.

✦ Try This: The linear equation 8x - 2y = 6 has a. A unique solution, b. Two solutions, c. Infinitely many solutions, d. No solution

Given

8x - 2y = 6

By rearranging

2y = 8x - 6

So we get

y = 4x - 3

Here we will get different values of y for various x values

Therefore, the linear equation has infinitely many solutions.

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

NCERT Exemplar Class 9 Maths Exercise 4.1 Problem 1

The linear equation 2x - 5y = 7 has a. A unique solution, b. Two solutions, c. Infinitely many solutions, d. No solution

Summary:

A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. The linear equation 2x - 5y = 7 has infinitely many solutions

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