Pair of Linear Equations in Two Variables
51 CBSE Class 10 Mathematics practice questions with answers and worked solutions.
About this chapter
- Difficulty: 22 easy · 29 moderate.
- Most-asked subtopics: Substitution Method (17), Elimination Method (12), Consistency from the Ratios of Coefficients (11).
- Updated 18 September 2026.
#1Graphical Method and Nature of Solutions
#2Graphical Method and Nature of Solutions
#3Graphical Method and Nature of Solutions
#4Substitution Method
#5Substitution Method
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#6Substitution Method
#7Substitution Method
#8Elimination Method
#9Elimination Method
#10Elimination Method
- Set · 2 questionsForm the pair of linear equations in the following problems, and find their solutions graphically.
#11Graphical Method and Nature of Solutions
#12Graphical Method and Nature of Solutions
- Set · 3 questionsOn comparing the ratios , and , find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident:
#13Consistency from the Ratios of Coefficients
#14Consistency from the Ratios of Coefficients
#15Consistency from the Ratios of Coefficients
- Set · 5 questionsOn comparing the ratios , and , find out whether the following pair of linear equations are consistent, or inconsistent.
#16Consistency from the Ratios of Coefficients
#17Consistency from the Ratios of Coefficients
#18Consistency from the Ratios of Coefficients
#19Consistency from the Ratios of Coefficients
#20Consistency from the Ratios of Coefficients
- Set · 4 questionsWhich of the following pairs of linear equations are consistent/inconsistent? If consistent, obtain the solution graphically:
#21Graphical Method and Nature of Solutions
#22Graphical Method and Nature of Solutions
#23Graphical Method and Nature of Solutions
#24Graphical Method and Nature of Solutions
#25Graphical Method and Nature of Solutions
- Set · 3 questionsGiven the linear equation , write another linear equation in two variables such that the geometrical representation of the pair so formed is:
#26Consistency from the Ratios of Coefficients
#27Consistency from the Ratios of Coefficients
#28Consistency from the Ratios of Coefficients
#29Graphical Method and Nature of Solutions
- Set · 6 questionsSolve the following pair of linear equations by the substitution method.
#30Substitution Method
#31Substitution Method
#32Substitution Method
#33Substitution Method
#34Substitution Method
#35Substitution Method
#36Substitution Method
- Set · 6 questionsForm the pair of linear equations for the following problems and find their solution by substitution method.
#37Substitution Method
#38Substitution Method
#39Substitution Method
#40Substitution Method
#41Substitution Method
#42Substitution Method
- Set · 4 questionsSolve the following pair of linear equations by the elimination method and the substitution method :
#43Elimination Method
#44Elimination Method
#45Elimination Method
#46Elimination Method
- Set · 4 questionsForm the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :
#47Elimination Method
#48Elimination Method
#49Elimination Method
#50Elimination Method
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