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प्रश्न
Solve by cross-multiplication method
6x + 7y – 11 = 0, 5x + 2y = 13
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उत्तर
6x + 7y – 11 = 0 → (1)
5x + 2y = 13 → (2)
Use the coefficient for cross multiplication
`x/(- 91 - (-22)) = y/(- 55 - (-78)) = 1/(12 - (35))`
`x/(- 91 + 22) = y/(-55 + 78) = 1/(12 - 35)`
`x/(-69) = y/23 = 1/(-23)`
But `x/(-69) = 1/(-23)`
– 23x = – 69
∴ 23x = 69
x = `69/23`
= 3
`y/23 = 1/(-23)`
– 23y = 23
23y = – 23
y = `- 23/23`
y = –1
∴ The value of x = 3 and y = –1
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