Linear Equation in Two Variables Quiz: Test Your Knowledge
Linear Equation in Two Variable Questions and Answers
- 1.
What is the solution for 2x + 3y = 12 and x - y = 2?
- A.
X = 2, y = 2
- B.
X = 3, y = 1
- C.
X = 1, y = 3
- D.
X = 4, y = 0
Correct Answer
A. X = 2, y = 2Explanation
To solve the system 2x + 3y = 12 and x - y = 2, first isolate x from the second equation: x = y + 2. Substitute x = y + 2 into the first equation: 2(y + 2) + 3y = 12. Simplifying, 2y + 4 + 3y = 12, which becomes 5y = 8. Therefore, y = 8/5. Substituting y = 8/5 back into x = y + 2 gives x = 8/5 + 2 = 18/5. Thus, the solution is x = 18/5 and y = 8/5.Rate this question:
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- 2.
If 3x + 5y = 20 and x = 2, what is the value of y?
- A.
2
- B.
3
- C.
4
- D.
5
Correct Answer
B. 3Explanation
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:
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- 3.
Solve for x: 5x - 2y = 10, x = 3, what is y?
- A.
Y = 5
- B.
Y = 2
- C.
Y = 1
- D.
Y = 4
Correct Answer
C. Y = 1Explanation
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:
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- 4.
What is the solution to the system: x + y = 10 and 2x - y = 4?
- A.
X = 6, y = 4
- B.
X = 7, y = 3
- C.
X = 8, y = 2
- D.
X = 9, y = 1
Correct Answer
A. X = 6, y = 4Explanation
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:
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- 5.
If x + 2y = 10 and y = 3, what is x?
- A.
1
- B.
4
- C.
6
- D.
8
Correct Answer
B. 4Explanation
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:
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- 6.
What is the solution for 4x - y = 7 and x + y = 5?
- A.
X = 4, y = 1
- B.
X = 3, y = 2
- C.
X = 2, y = 3
- D.
X = 5, y = 0
Correct Answer
B. X = 3, y = 2Explanation
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:
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- 7.
Solve for x: 7x + 2y = 21 and y = 2.
- A.
X = 3
- B.
X = 2
- C.
X = 5
- D.
X = 6
Correct Answer
A. X = 3Explanation
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:
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- 8.
What is the solution for 2x + 5y = 25 and x = 3?
- A.
Y = 2
- B.
Y = 3
- C.
Y = 4
- D.
Y = 5
Correct Answer
B. Y = 3Explanation
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:
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- 9.
Solve for y in the equation: 3x + 4y = 12, if x = 2.
- A.
Y = 2
- B.
Y = 1
- C.
Y = 3
- D.
Y = 4
Correct Answer
A. Y = 2Explanation
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:
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- 10.
What is the value of y when 2x + 3y = 12 and x = 4?
- A.
1
- B.
2
- C.
3
- D.
4
Correct Answer
C. 3Explanation
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:
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Feb 14, 2025Quiz Edited by
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Jan 28, 2025Quiz Created by
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