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Question 32692: Use Cramer's Rule to solve the following pair of simultaneous linear equations:
3x = -7 + 2y; 5y = 8 - 2x
Answer by mukhopadhyay(490)   (Show Source):
You can put this solution on YOUR website! 3x = -7 + 2y
=> 3x-2y = -7;
5y = 8 - 2x
=> 2x+5y = 8;
Based on Cramer's rule,
x = Determinant(x)/Determinant..... (1)
y = Determinant(y)/Determinant..... (2)
..
Determinant {(3,-2);(2,5)} = 15+4 = 19;
Determinant (x) {(-7,-2);(8,5)} = -35 + 16 = -19;
Determinant (y) {(3,-7);(2,8)} = 24 + 14 = 38;
........
From (1): x = -19/19 = -1;
From (2): y = 38/19 = 2;
Answer: x = -1 and y = 2
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