Linear Equations: Form and SolutionsPractice Questions & MCQs
Practice Linear Equations: Form and Solutions questions from Linear Equations in Two Variables (Class 9 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.
Linear Equations: Form and SolutionsQuiz - Solve & Score
Q1. Three pairs are proposed for 3x + 2y = c: (1, 1), (3, -2) and (0, 1). Using (1, 1) to fix c, exactly how many of the OTHER two pairs are also solutions?
- A.1
- B.2
- C.0
- D.3
Answer: A. 1
Quick parse - a typical math numerical. The data on the table: 3, 2, 1, 1, 3. We are after how many of the OTHER two pairs are also solutions?. Tool of choice - From (1,1): c = 3+2 = 5. Rearrange it for the unknown before substituting. Numbers in: From (1,1): c = 3+2 = 5 → pair2 value = 3(3)+2(-2) = 5 → pair3 value = 3(0)+2(1) = 2. Common-sense check: exactly 1 of these equals 5. Lock in option A) 1. Trap-watch: option B) '2' fails since Test BOTH remaining pairs against c=5; only one fits; option C) '0' doesn't hold - Re-test: one of the two does satisfy c=5.
Q2. Three pairs are proposed for 5x + 3y = c: (1, 1), (4, -4) and (0, 1). Using (1, 1) to fix c, exactly how many of the OTHER two pairs are also solutions?
- A.1
- B.2
- C.0
- D.3
Answer: A. 1
Q3. Three pairs are proposed for 4x + 7y = c: (1, 1), (8, -3) and (0, 1). Using (1, 1) to fix c, exactly how many of the OTHER two pairs are also solutions?
- A.1
- B.2
- C.0
- D.3
Answer: A. 1
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Yes. These Linear Equations: Form and Solutions important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.
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