Solve 2x+3y = 11 and 2x-4y=-24 and hence find the value of M for which

1.	Solve 2x+3y = 11 and 2x-4y=-24 and hence find the value of M for which y=Mx+3
Answer» We have,2x + 3y = 11 ….(1)2x – 4y = – 24 ….(2)From (1), we have 2x = 11 – 3ySubstituting 2x = 11 – 3y in (2), we get11 – 3y – 4y = –24⇒ –7y = – 24 – 11⇒ –7y = – 35⇒ y = 5Putting y = 5 in (1), we get2x + 3 × 5 = 112x = 11 – 15⇒ x = –4/2 = – 2Hence, x = – 2 and y = 5Again putting x = – 2 and y = 5 in y = mx + 3, we get5x = m(–2) + 3⇒ –2m = 5 – 3⇒ m = – 1

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