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

1.	Solve 2x+3y = 11 and 2x-4y =-24 and hence find the value of m for y=mx+3
Answer» 2x + 3y = 11 .......(i)2x - 4y = -24......(ii) solving these equations by substitution method,Now, from (ii), we get, 2x-4y=-242x=-24+4yx=(-24+4y)/2x=-24/2+4y/2x=-12+2y...........(iii) Put this value of x in (i), we get, 2(-12+2y)+ 3y = 11-24+4y+3y=117y=11+247y=35y=35/7y=5 now put this value of y in (iii) =-12+2y=-12+2(5)=-12+10=-2 y=mx+3 {y=5,x=-2)5=m(-2)+35=-2m+35-3=-2m2=-2m2/2=-m1=-m-1=m

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

Answer»

2x + 3y = 11 .......(i)2x - 4y = -24......(ii)

solving these equations by substitution method,Now, from (ii), we get,

2x-4y=-242x=-24+4yx=(-24+4y)/2x=-24/2+4y/2x=-12+2y...........(iii)

Put this value of x in (i), we get,

2(-12+2y)+ 3y = 11-24+4y+3y=117y=11+247y=35y=35/7y=5

now put this value of y in (iii)

=-12+2y=-12+2(5)=-12+10=-2

y=mx+3 {y=5,x=-2)5=m(-2)+35=-2m+35-3=-2m2=-2m2/2=-m1=-m-1=m