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Question
Solve the following equations by Cramer’s method.
7x + 3y = 15; 12y – 5x = 39
Sum
Solution
7x + 3y = 15; 12y – 5x = 39
7x + 3y = 15
–5x + 12y = 39
D = `|(7,3),(-5,12)|`
= 7 × 12 − (−5) × 3
= 84 + 15
= 99
Dx = `|(15,3),(39,12)|`
= 15 × 12 − 39 × 3
= 180 − 117
= 63
Dy = `|(7,15),(-5,39)|`
= 7 × 39 − (−5) × 15
= 273 + 75
= 348
x = `("D"_"x")/("D") = 63/99 = 7/11`
y = `("D"_"y")/("D") = 348/99 = 116/33`
(x, y) = `(7/11, 116/33)`
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