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Pair of Linear Equations in Tw...
Question Bank

Question Bank - Pair of Linear...

PL

Question Bank: Pair of Linear Equations in Two Variables

Explore the methods to solve a pair of linear equations in two variables, including graphical, substitution, elimination, and cross-multiplication techniques.

Question Bank - Pair of Linear Equations in Two Variables

Q1.

Solve the pair of linear equations 2x + 3y = 7 and 4x - y = 5 using the elimination method.

Single Answer MCQ
Q-00001190
Q2.

Find the solution to the pair of linear equations x - 2y = 3 and 3x + y = 4 using the substitution method.

Single Answer MCQ
Q-00001191
Q3.

Determine if the pair of linear equations 5x + 2y = 10 and 3x - y = 7 has a unique solution, infinitely many solutions, or no solution.

Single Answer MCQ
Q-00001192
Q4.

Form a pair of linear equations for the problem: The sum of two numbers is 15 and their difference is 3. Find the numbers.

Single Answer MCQ
Q-00001193
Q5.

Solve the pair of linear equations 3x + 2y = 12 and 2x - 3y = 4 using the graphical method.

Single Answer MCQ
Q-00001194
Q6.

Find the solution to the pair of linear equations 4x - y = 8 and 2x + 3y = 10 by using both the substitution and elimination methods.

Single Answer MCQ
Q-00001195
Q7.

Determine if the pair of linear equations 6x + 4y = 18 and 3x + 2y = 9 is consistent, inconsistent, or dependent.

Single Answer MCQ
Q-00001196
Q8.

Form a pair of linear equations for the problem: The sum of two consecutive even numbers is 34. Find the numbers.

Single Answer MCQ
Q-00001197
Q9.

Solve the pair of linear equations 5x - 3y = 7 and 2x + y = 4 using the elimination method.

Single Answer MCQ
Q-00001198
Q10.

Find the solution to the pair of linear equations 3x + 4y = 15 and x - 2y = 3 using the substitution method.

Single Answer MCQ
Q-00001199
Q11.

Determine if the pair of linear equations 2x + y = 5 and 4x - 2y = 10 has a unique solution, infinitely many solutions, or no solution.

Single Answer MCQ
Q-00001200
Q12.

Form a pair of linear equations for the problem: The difference of two numbers is 8 and their sum is 20. Find the numbers.

Single Answer MCQ
Q-00001201
Q13.

Solve the pair of linear equations 6x - 2y = 12 and 3x + y = 5 using the graphical method.

Single Answer MCQ
Q-00001202
Q14.

Find the solution to the pair of linear equations 2x + y = 7 and 4x - 3y = 10 by using both the substitution and elimination methods.

Single Answer MCQ
Q-00001203
Q15.

Determine if the pair of linear equations 3x + 2y = 10 and 6x + 4y = 20 is consistent, inconsistent, or dependent.

Single Answer MCQ
Q-00001204
Q16.

Form a pair of linear equations for the problem: The sum of two consecutive odd numbers is 28. Find the numbers.

Single Answer MCQ
Q-00001205
Q17.

Solve the pair of linear equations 4x + 3y = 14 and 2x - y = 5 using the elimination method.

Single Answer MCQ
Q-00001206
Q18.

Find the solution to the pair of linear equations x + 2y = 6 and 2x - y = 3 using the substitution method.

Single Answer MCQ
Q-00001207
Q19.

Determine if the pair of linear equations 3x - y = 8 and 6x + 2y = 16 has a unique solution, infinitely many solutions, or no solution.

Single Answer MCQ
Q-00001208
Q20.

Form a pair of linear equations for the problem: The sum of two numbers is 18 and their difference is 4. Find the numbers.

Single Answer MCQ
Q-00001209
Q21.

Solve the pair of linear equations 5x - 2y = 9 and 3x + y = 6 using the graphical method.

Single Answer MCQ
Q-00001210
Q22.

Find the solution to the pair of linear equations 2x - y = 5 and 4x + 3y = 11 by using both the substitution and elimination methods.

Single Answer MCQ
Q-00001211
Q23.

Determine if the pair of linear equations 4x + 2y = 12 and 2x - y = 3 is consistent, inconsistent, or dependent.

Single Answer MCQ
Q-00001212
Q24.

Form a pair of linear equations for the problem: The difference of two numbers is 6 and their sum is 16. Find the numbers.

Single Answer MCQ
Q-00001213
Q25.

Solve the pair of linear equations 3x + 2y = 9 and 6x - 3y = 12 using the elimination method.

Single Answer MCQ
Q-00001214
Q26.

Solve the following pair of linear equations by the substitution method: 2x + 3y = 11 and 4x - y = 5

Single Answer MCQ
Q-00002178
Q27.

Form the pair of linear equations for the following problem: The sum of two numbers is 15. One number is 3 more than the other. Find the numbers.

Single Answer MCQ
Q-00002179
Q28.

Solve the pair of linear equations using the elimination method: 3x + 2y = 10 and 2x - 3y = 1

Single Answer MCQ
Q-00002180
Q29.

Create a pair of linear equations for the problem: A father is 4 times as old as his son. The sum of their ages is 40. Find their ages.

Single Answer MCQ
Q-00002181
Q30.

Solve the following pair of linear equations by graphing: x + y = 8 and 2x - y = 4

Single Answer MCQ
Q-00002182
Q31.

Solve the following pair of linear equations by the substitution method: 2x + 3y = 11 and 4x - y = 5

Single Answer MCQ
Q-00002600
Q32.

Form the pair of linear equations in the following problem and find their solutions by the elimination method: The sum of two numbers is 15 and their difference is 3. Find the numbers.

Single Answer MCQ
Q-00002601
Q33.

If the lines represented by the pair of linear equations are parallel, what does it indicate about the solutions of the equations?

Single Answer MCQ
Q-00002602
Q34.

Solve the pair of linear equations: 3x + 2y = 10 and 2x - 3y = 1 using the graphical method.

Single Answer MCQ
Q-00002603
Q35.

Find the solution of the pair of linear equations: x + 2y = 7 and 3x - y = 5 by using the elimination method.

Single Answer MCQ
Q-00002604

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Pair of Linear Equations in Two Variables Summary, Important Questions & Solutions | All Subjects

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