Class 9 · ICSE · Mathematics

Simultaneous Linear Equations

Solving a pair of linear equations by substitution, elimination and cross multiplication, and related word problems.

Questions: 11
PYQs: 0
Topics: 1

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Substitution and Elimination1

Questions

11 questions in this chapter.

Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
The sum of two numbers is 35 and their difference is 9. Find the numbers.
4 marksHardApplication based
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
Solve by cross multiplication: 2x + 3y = 12 and 3x − 2y = 5.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
Solve by elimination: 4x + 3y = 17 and 2x − 3y = 1.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
The cost of 2 pens and 3 books is ₹230, and the cost of 4 pens and 5 books is ₹400. Find the cost of one pen and one book.
4 marksHardApplication based
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
A two-digit number is such that the sum of its digits is 9, and reversing the digits increases the number by 27. Find the number.
4 marksHardApplication based
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
Solve: 3x − 2y = 5 and x + 4y = 11.
3 marksMediumNumerical
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
The solution of x + y = 7 and x − y = 1 is:
1 markMediumMCQ
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
A boat covers 24 km downstream in 2 hours and returns upstream in 3 hours. Find the speed of the boat in still water and the speed of the current.
4 marksHardApplication based
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
Solve: 2x + 3y = 13 and x + y = 5.
3 marksEasyNumerical
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
Five years ago a father was seven times as old as his son. Five years hence the father will be three times as old as his son. Find their present ages.
4 marksHardApplication based
Answer available
Class 9 · Mathematics · Simultaneous Linear Equations
Solve the simultaneous equations: 3x + 2y = 16 and 5x − 2y = 0.
3 marksMediumNumerical