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

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=

$\frac{11–3y}{2}$

(3)

By putting this value in equation (2), we obtain

2

$\left(\frac{11–3y}{2}\right)$

-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