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Question
Solve by cross-multiplication method
8x – 3y = 12, 5x = 2y + 7
Solution
8x – 3y – 12 = 0 → (1)
5x – 2y – 7 = 0 → (2)
Use the coefficients for cross multiplication
`x/(+21 - (+24)) = y/(-60 - (-56)) = 1/(-16 - (-15))`
= `x/(21 - 24) = y/(-60+ 56) = 1/(- 16 + 15)`
`x/(-3) = y/(-4) = 1/(-1)` = – 1
`x/(-3)` = – 1 ⇒ x = 3
`x/(-4)` = – 1 ⇒ x = 4
∴ The value of x = 3 and y = 4
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