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Question
For the equations y + 2x = 19 and 2x – 3y = − 3, find the value of D.
Solution
The given equations are
y + 2x = 19
i.e., 2x + y = 19
2x – 3y = – 3
Comparing the given equations with a1x + b1y = c1 and a2x + b2y = c2,
we get
a1 = 2, b1 = 1, c1 = 19
a2 = 2, b2 = – 3, c2 = – 3
∴ D = `|("a"_1, "b"_1),("a"_2, "b"_2)|`
= `|(2, 1),(2, -3)|`
= 2 × (– 3) – 1 × 2
= – 6 – 2
= – 8
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