Linear Equation In Two Variables Quiz: Test Your Knowledge

Created by Editorial Team

The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.

Learn about Our Editorial Process

| By Hansika

Hansika

Community Contributor

Quizzes Created: 231 | Total Attempts: 21,283

| Attempts: 12

Quiz Flashcard

Questions

Feedback

During the Quiz End of Quiz

Difficulty

Sequential Easy First Hard First

Share on Facebook Share on Twitter Share on Whatsapp Share on Pinterest Share on Email Copy to Clipboard Embed on your website

1/10 Questions

What is the solution for 2x + 3y = 12 and x - y = 2?
- X = 2, y = 2
- X = 3, y = 1
- X = 1, y = 3
- X = 4, y = 0

About This Quiz

Challenge your skills in solving linear equations in two variables with this interactive quiz. Test your ability to find solutions for various systems of equations.

Linear Equation In Two Variables Quiz: Test Your Knowledge - Quiz

2.

If 3x + 5y = 20 and x = 2, what is the value of y?
- 2
- 3
- 4
- 5
Correct Answer

A. 3

Explanation

If 3x + 5y = 20 and x = 2, substitute x = 2 into the equation: 3(2) + 5y = 20, which simplifies to 6 + 5y = 20. Subtract 6 from both sides: 5y = 14. Divide by 5 to get y = 14/5. Therefore, the value of y is 14/5 when x = 2.

Rate this question:
3.

Solve for x: 5x - 2y = 10, x = 3, what is y?
- Y = 5
- Y = 2
- Y = 1
- Y = 4
Correct Answer

A. Y = 1

Explanation

To solve 5x - 2y = 10, substitute x = 3 into the equation: 5(3) - 2y = 10, simplifying to 15 - 2y = 10.Subtract 15 from both sides: -2y = -5. Divide both sides by -2 to get y = 5/2. Therefore, the value of y is 5/2 when x = 3.

Rate this question:
4.

What is the solution to the system: x + y = 10 and 2x - y = 4?
- X = 6, y = 4
- X = 7, y = 3
- X = 8, y = 2
- X = 9, y = 1
Correct Answer

A. X = 6, y = 4

Explanation

The system of equations is x + y = 10 and 2x - y = 4. Solve the first equation for y: y = 10 - x. Substitute this into the second equation: 2x - (10 - x) = 4, which simplifies to 2x - 10 + x = 4. Combining like terms: 3x - 10 = 4. Add 10 to both sides: 3x = 14. Dividing by 3 gives x = 14/3, and substituting into y = 10 - x gives y = 16/3.

Rate this question:
5.

If x + 2y = 10 and y = 3, what is x?
- 1
- 4
- 6
- 8
Correct Answer

A. 4

Explanation

If x + 2y = 10 and y = 3, substitute y = 3 into the equation: x + 2(3) = 10, simplifying to x + 6 = 10. Subtract 6 from both sides: x = 4. Thus, the value of x is 4 when y = 3.

Rate this question:
6.

What is the solution for 4x - y = 7 and x + y = 5?
- X = 4, y = 1
- X = 3, y = 2
- X = 2, y = 3
- X = 5, y = 0
Correct Answer

A. X = 3, y = 2

Explanation

The system 4x - y = 7 and x + y = 5 can be solved by substitution. From the second equation, y = 5 - x. Substitute this into the first equation: 4x - (5 - x) = 7. Simplifying: 4x - 5 + x = 7, which becomes 5x - 5 = 7. Adding 5 to both sides gives 5x = 12. Divide by 5 to get x = 12/5. Substituting into y = 5 - x gives y = 13/5.

Rate this question:
7.

Solve for x: 7x + 2y = 21 and y = 2.
- X = 3
- X = 2
- X = 5
- X = 6
Correct Answer

A. X = 3

Explanation

Solve 7x + 2y = 21 and y = 2. Substitute y = 2 into the equation: 7x + 2(2) = 21, simplifying to 7x + 4 = 21. Subtract 4 from both sides: 7x = 17. Divide both sides by 7 to get x = 17/7. Thus, the value of x is 17/7 when y = 2.

Rate this question:
8.

What is the solution for 2x + 5y = 25 and x = 3?
- Y = 2
- Y = 3
- Y = 4
- Y = 5
Correct Answer

A. Y = 3

Explanation

For the equation 2x + 5y = 25 and x = 3, substitute x = 3 into the equation: 2(3) + 5y = 25, simplifying to 6 + 5y = 25. Subtract 6 from both sides: 5y = 19. Divide both sides by 5 to get y = 19/5. Therefore, the value of y is 19/5 when x = 3.

Rate this question:
9.

Solve for y in the equation: 3x + 4y = 12, if x = 2.
- Y = 2
- Y = 1
- Y = 3
- Y = 4
Correct Answer

A. Y = 2

Explanation

Solve 3x + 4y = 12, given x = 2. Substitute x = 2 into the equation: 3(2) + 4y = 12, simplifying to 6 + 4y = 12. Subtract 6 from both sides: 4y = 6. Divide by 4 to get y = 6/4, which simplifies to y = 3/2. Thus, the value of y is 3/2 when x = 2.

Rate this question:
10.

What is the value of y when 2x + 3y = 12 and x = 4?
- 1
- 2
- 3
- 4
Correct Answer

A. 3

Explanation

The equation is 2x + 3y = 12 and x = 4. Substitute x = 4 into the equation: 2(4) + 3y = 12, simplifying to 8 + 3y = 12. Subtract 8 from both sides: 3y = 4. Divide by 3 to get y = 4/3. Therefore, the value of y is 4/3 when x = 4.

Rate this question:

Quiz Review Timeline (Updated): Mar 21, 2025 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

Current Version
Mar 21, 2025

Quiz Edited by
ProProfs Editorial Team
Jan 28, 2025

Quiz Created by
Hansika

Linear Equation in Two Variables Quiz: Test Your Knowledge

What is the solution for 2x + 3y = 12 and x - y = 2?

Quiz Preview

If 3x + 5y = 20 and x = 2, what is the value of y?

Solve for x: 5x - 2y = 10, x = 3, what is y?

What is the solution to the system: x + y = 10 and 2x - y = 4?

If x + 2y = 10 and y = 3, what is x?

What is the solution for 4x - y = 7 and x + y = 5?

Solve for x: 7x + 2y = 21 and y = 2.

What is the solution for 2x + 5y = 25 and x = 3?

Solve for y in the equation: 3x + 4y = 12, if x = 2.

What is the value of y when 2x + 3y = 12 and x = 4?