Chapter: Linear Equations in Two Variables· Mathematics Part 1 (Algebra)

Asked in: March 2025 board paper; the same kind of 2-mark “solve the simultaneous equations” came in July 2024 (\(x + y = 5,\ x - y = 3\)), March 2026 (\(x + y = 4,\ 2x - y = 2\)) and June 2026 (\(5x + 3y = 9,\ 2x - 3y = 12\))Solve the following simu…

Asked in: March 2025 board paper; the same kind of 2-mark “solve the simultaneous equations” came in July 2024 (\(x + y = 5,\ x - y = 3\)), March 2026 (\(x + y = 4,\ 2x - y = 2\)) and June 2026 (\(5x + 3y = 9,\ 2x - 3y = 12\))

Solve the following simultaneous equations : \(x + y = 3\); \(3x - 2y = 4\)

Doubtly Asked 29 Oct 2026 Practice test ssc 10th Save WhatsApp Report

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Answer: \(x = 2,\ y = 1\)

\(x + y = 3\) …(I)
\(3x - 2y = 4\) …(II)

Multiply (I) by 2: \(2x + 2y = 6\) …(III)

Add (II) and (III): \(5x = 10 \Rightarrow x = 2\)

Put \(x = 2\) in (I): \(2 + y = 3 \Rightarrow y = 1\)

Check in (II): \(3(2) - 2(1) = 4\) ✓. \(\therefore (x, y) = (2, 1)\).

Doubtly AI · 29 Oct 2026 AI-verified · Nov 2026 Report

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Asked in: March 2025 board paper; the same kind of 2-mark “solve the simultaneous equations” came in July 2024 (\(x + y = 5,\ x - y = 3\)), March 2026 (\(x + y = 4,\ 2x - y = 2\)) and June 2026 (\(5x + 3y = 9,\ 2x - 3y = 12\))Solve the following simu…

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