Solve the following simultaneous equations by first finding \(x + y\) and \(x - y\) :\(23x + 19y = 107\)\(19x + 23y = 103\)

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

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Answer: \(x = 3,\ y = 2\)

Adding: \(42x + 42y = 210 \Rightarrow x + y = 5\) …(I)

Subtracting: \(4x - 4y = 4 \Rightarrow x - y = 1\) …(II)

(I) + (II): \(2x = 6 \Rightarrow x = 3\); then \(y = 5 - 3 = 2\).

Check: \(23(3) + 19(2) = 69 + 38 = 107\) ✓.

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

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