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Important Questions

Simultaneous (Linear) Equations

ICSE · Class 9 · Mathematics

Most important questions from Simultaneous (Linear) Equations for ICSE Class 9 Mathematics board exam 2026. MCQs, short answer, and long answer questions with marks.

25 questions24 flashcards5 concepts

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A diagram illustrating two linear equations with two variables and their common solution point, emphasizing that they are 'simultaneous' equations.
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25 Questions·
multiple choicemultiple correcttrue falsematchingordering

Sample Questions

1multiple correct

Using substitution method, solve: y = 2x and x + y = 9. Find the values of x and y.

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x = 3, y = 6

Substitute y = 2x into x + y = 9: x + 2x = 9 → 3x = 9 → x = 3. Then y = 2(3) = 6. Check: 3 + 6 = 9 ✓

2multiple correct

The sum of two numbers is 20 and their difference is 8. Which of the following are correct?

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The larger number is 14, The smaller number is 6, The product of numbers is 84

Let numbers be x and y where x > y. Then x + y = 20 and x - y = 8. Adding: 2x = 28 → x = 14. Subtracting: 2y = 12 → y = 6. Product = 14 × 6 = 84.

3multiple choice

In a fraction, the numerator is 3 less than the denominator. If 2 is added to both numerator and denominator, the fraction becomes 3/4. Find the original denominator.

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10

Let denominator = y, then numerator = y - 3. Original fraction = (y-3)/y. After adding 2: (y-3+2)/(y+2) = (y-1)/(y+2) = 3/4. Cross multiply: 4(y-1) = 3(y+2) → 4y - 4 = 3y + 6 → y = 10.

4true false

True or False: The system x + y = 5 and 2x + 2y = 11 has no solution.

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True

The first equation gives x + y = 5. The second equation 2x + 2y = 11 can be written as 2(x + y) = 11, or x + y = 5.5. Since x + y cannot be both 5 and 5.5 simultaneously, the system has no solution.

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Frequently Asked Questions

What are the important topics in Simultaneous (Linear) Equations for ICSE Class 9 Mathematics?
Simultaneous (Linear) Equations covers several key topics that are frequently asked in ICSE Class 9 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Simultaneous (Linear) Equations — ICSE Class 9 Mathematics?
Understand the core concepts first, then work through the 25 practice questions available for this chapter. Revise formulas and definitions regularly, and use flashcards for quick recall before the exam.
How many important questions are there in Simultaneous (Linear) Equations?
There are 25 practice questions available for Simultaneous (Linear) Equations. These cover multiple question types including MCQs, short answer, and long answer questions.

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