Mathematics
Solve : and .
Hence, find 'm' for which y = mx - 4.
Linear Equations
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Answer
Lets take = u and = v. The given equation becomes,
2u + v = ⇒ 12u + 4v = 1
And, 3u + 2v = 0
Multiply second equation by 4 and subtract from first equation, we get
(3u + 2v = 0) x 4
⇒ v = -
Substituting the value of v in equation (2), we get:
⇒ 3u + 2 = 0
⇒ 3u - = 0
⇒ 3u =
⇒ u =
So, x = = 6 and y = = -4
Substituting the value of x and y in y = mx - 4, we get:
⇒ -4 = m 6 - 4
⇒ -4 + 4 = 6m
⇒ 0 = 6m
⇒ m =
⇒ m = 0
Hence, the value of x = 6 , y = -4 and m = 0.
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