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

Solve 2x + 3y = 11 and 2x – 4y = -24 and hence find the value of m f

1.	Solve 2x + 3y = 11 and 2x – 4y = -24 and hence find the value of m for which y = mx + 3
Answer» Let,P(x)=2x+3y=11-(1)P(x)=2x-4y=-24-(2)Now solving 1 and 2 we get7y=35Y=5Now putting the value of y in 1 we getX=-2Now,given y=MX+35=m(-2)+3M=-1 2x + 3y = 11 (1)2x - 4y = -24 (2)Subtracting both the equations7y = 35y = 5Putting y = 5 in 1 we get2x + 15 = 112x = -4x = -2y = mx + 35 = m(-2) + 32 = -2m-1 = m