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प्रश्न
Solve the following pair of linear equations.
152x − 378y = − 74
− 378x + 152y = − 604
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उत्तर
152x − 378y = − 74
76x − 189y = − 37
`x =(189y - 37)/76 ...(1)`
− 378x + 152y = − 604
− 189x + 76y = − 302 … (2)
Substituting the value of x in equation (2), we obtain
`-189((189y-37)/76)+76y = - 302`
− (189)2 y + 189 × 37 + (76)2 y = − 302 × 76
189 × 37 + 302 × 76 = (189)2 y − (76)2 y
6993 + 22952 = (189 − 76) (189 + 76) y
29945 = (113) (265) y
y = 1
From equation (1), we obtain
`x = (189(1)-37)/76`
`x =(189-37)/76 = 152/76`
x = 2
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