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Question
To solve the following simultaneous equations by Cramer's rule, find the values of Dx and Dy.
3x + 5y = 26
x + 5y = 22
Sum
Solution
3x + 5y = 26
x + 5y = 22
By Cramer's rule
Dx = `|(26, 5),(22, 5)|`
= 26 × 5 – 22 × 5
= 130 – 110
= 20
Dy = `|(3, 26),(1, 22)|`
= 3 × 22 – 1 × 26
= 66 – 26
= 40
∴ Dx = 20 and Dy = 40
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