Question: Solve 2x+3y=11 and 2x-4y=-24 and hence find the value of m for which y=mx+3
Solution:
2x + 3y = 11 (1)
2x – 4y = -24 (2)
From Equation (1), We obtain
x=
(3)
By putting this value in equation (2), we obtain
2
-4y = -24
11 – 3y – 4y = -24
-7y = -35
y = 5 (4)
Putting this value in equation (3), we obtain
x=
Hence, X=-2, y=5
y=mx+3
5=m(-2) + 3
5 – 3 = m(-2)
2 = m (-2)
m = -1 Ans