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Important Questions

Simultaneous (Linear) Equations — Important Questions

ICSE · Class 9 · Mathematics

25 important questions from Simultaneous (Linear) Equations for ICSE Class 9 Mathematics, with answers. Part of the ICSE Class 9 Mathematics syllabus.

25 questions24 flashcards9 formulas & key relations5 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

Important Questions from Simultaneous (Linear) Equations

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.

+21 more questions on Simultaneous (Linear) Equations (ICSE Class 9 Mathematics)

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Frequently Asked Questions

What are the important topics in Simultaneous (Linear) Equations for ICSE Class 9 Mathematics?
Key topics in Simultaneous (Linear) Equations include Core Ideas and Definitions, Method of Elimination by Substitution, Method of Elimination by Equating Coefficients, Method of Cross-Multiplication. Study these first, then practise questions on each for Class 9 exams.
How many important questions are there in Simultaneous (Linear) Equations?
Super Tutor has 25 practice questions for Simultaneous (Linear) Equations, including multiple choice, multiple correct, true false, matching, ordering questions. A sample with answers is on this page.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All ICSE Class 9 Mathematics Important Questions

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