Linear Equations Quiz - CBSE Class 10 Mathematics

Free practice quiz: Linear Equations (CBSE Class 10 Mathematics). 12 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. The solution of 4x - y = 7 and 2x + y = 1 is:

   1. x = 2, y = -3
   2. x = 1, y = -5
   3. x = 0, y = 2
   4. x = 2, y = 1
   Show answer

   Answer: A. x = 2, y = -3

   Add the two equations: 4x - y + 2x + y = 7 + 1. This gives 6x = 8, so x = 2. Substitute x into 2x + y = 1 gives y = -3.

2. Solve for x and y: x - 2y = 3 and 3x + y = 5.

   1. x = 1, y = 1
   2. x = 3, y = 0
   3. x = 2, y = 1
   4. x = 0, y = 1
   Show answer

   Answer: A. x = 1, y = 1

   From x - 2y = 3, x = 2y + 3. Substitute in 3x + y = 5 gives y = 1. Then x = 1.

3. What is the value of x in the equation: 3x + 4y = 10 and x = 2y + 1?

   1. x = 3
   2. x = 2
   3. x = 4
   4. x = 1
   Show answer

   Answer: A. x = 3

   Substitute x = 2y + 1 in 3x + 4y = 10 simplifies to y = 1, then x = 3.

4. Determine the y-value in: x + y = 5 and 2x + 2y = 10.

   1. y = 5
   2. y = 0
   3. No solution
   4. Infinite solutions
   Show answer

   Answer: D. Infinite solutions

   Both equations represent the same line, thus there are infinite solutions.

5. Solve for x and y: 4x + y = 9 and 3x - y = 3.

   1. x = 2, y = 1
   2. x = 3, y = 0
   3. x = 1, y = 5
   4. x = 0, y = 9
   Show answer

   Answer: A. x = 2, y = 1

   Add equations: (4x + y) + (3x - y) = 12 gives 7x = 12 so x = 2. Substitute to find y = 1.

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