(vi) 3x + y = 1; 2x = 11y + 3
Sol. 3x + y = 1
2x = 11y + 3
∴ 2x – 11y = 3
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D
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=
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3
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1
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=
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(3 × -11) – (2 × 1)
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=
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-33 - 2
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=
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-35
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2
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-11
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DX
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=
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1
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1
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=
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(1 × -11) – (3 × 1)
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=
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-11 – 3
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=
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-14
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3
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-11
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DY
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=
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3
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1
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=
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(3 × 3) – (2 × 1)
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=
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9 - 2
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=
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7
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2
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3
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By Cramer's rule,
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x
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=
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Dx
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=
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-14
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=
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2
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D
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-35
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5
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y
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=
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Dy
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=
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7
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=
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-1
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D
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-35
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5
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∴ x = 2/5 and y =
-1/5 is the solution of given
simultaneous equations.
