Mathematics
Solve :
3x + 2y = 14
-x + 4y = 7
Linear Equations
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Answer
3x + 2y = 14 …………… (1)
-x + 4y = 7 …………… (2)
Multiply 1 in the first equation and 3 in the second equation, then add both equations.
(3x + 2y = 14) x 1
(-x + 4y = 7) x 3
⇒ y =
⇒ y = 2.5
Substituting the value of y in equation (1), we get:
⇒ 3x + 2 2.5 = 14
⇒ 3x + 5 = 14
⇒ 3x = 14 - 5
⇒ 3x = 9
⇒ x =
⇒ x = 3
Hence, the value of x = 3 and y = 2.5.
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