Solve following pairs of linear equations using cross-multiplication method :
5x − 3y = 2
4x + 7y = −3
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x = 5/47 ; y = -23/47
Explanation:
5x - 3y = 2 ------- (1)
4x + 7y = - 3 ------- (2)
(1) * 4 => 20x - 12y = 8
(2) * 5 => 20x + 35y = - 15
Subtracting ==> -47y = 23 (symbol changes causes 20x to be cancelled)
y = -23/47
Substituting value of y in (1), we get 5x + 3 (23/47) = 2
Solving we get x = 5/47
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