The linear equation 3x - y = x - 1 has
a. A unique solution
b. Two solutions
c. Infinitely many solutions
d. No solution

Solution:

Given

3x - y = x - 1

By rearranging

3x - x - y + 1 = 0

2x - y + 1 = 0

So we get

y = 2x + 1

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 5x - y = 2x - 1 has: a. A unique solution, b. Two solutions, c. Infinitely many solutions, d. No solution

Given

5x - y = 2x - 1

By rearranging

5x - 2x - y + 1 = 0

3x - y + 1 = 0

So we get

y = 3x + 1

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

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NCERT Exemplar Class 9 Maths Exercise 4.1 Sample Problem 1

The linear equation 3x - y = x - 1 has a. A unique solution, b. Two solutions, c. Infinitely many solutions, d. No solution

Summary:

A linear equation is an equation in which the highest power of the variable is always 1. The linear equation 3x - y = x - 1 has infinitely many solutions

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