Solve the following simultaneous equations: 3a + 5b = 26; a + 5b = 22

Solve the following simultaneous equations.

\[3a + 5b = 26;\ a + 5b = 22\]

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: \((a, b) = (2, 4)\)

Let \(3a + 5b = 26\) ... (I) and \(a + 5b = 22\) ... (II).

Subtract the equations to eliminate \(b\):\[2a = 4\]\[a = 2\]

Substitute \(a = 2\) in (I): \(5b = 26 - 6 = 20\), so \(b = 4\).

Check in (II): \(1(2) + 5(4) = 22\), which is true.

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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