Mathematics
Solve :
3(2x + y) = 7xy
3(x + 3y) = 11xy; x ≠ 0, y ≠ 0
Linear Equations
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Answer
6x + 3y = 7xy
3x + 9y = 11xy
Multiply 1 in the first equation and 2 in the second equation, then subtract both equations.
(6x + 3y = 7xy) x 1
(3x + 9y = 11xy) x 2
⇒ x =
⇒ x = 1
Substituting the value of x in equation (1), we get:
⇒ 6x + 3y = 7xy
⇒ 6 1 + 3y = 7 1 y
⇒ 6 + 3y = 7y
⇒ 6 = 7y - 3y
⇒ 4y = 6
⇒ y =
⇒ y =
Hence, the value of x = 1 and y = .
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