Question

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

Answer 1

2x+3y =11
2x-4y=-24
-. +. + (elimination method )
7y=35
y=35/7
y=5
put value of y in equation 1

2x+3×5=11
2x+15=11
2x=-4
x=-2


now put value of x and y in given eq
5=-2m+3
5-3=-2m
2=-2m
m=-1

Answer 2

❤2x+3y=11
2x-4y=-24
(-) (+) (+)
----------------------
-7y=-35
y=5

2x+3y=11
2x+3(5)=11
2x+15=11
2x=11-15
2x=-4
x=-2


y=mx+3
5=m(-2)+3
5=-2m+3
5-3=-2m
2=-2m
m=-1