**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=

$\frac{11\u20133\times 5}{2}=\frac{\u20134}{2}=\u20132$Hence, X=-2, y=5

y=mx+3

5=m(-2) + 3

5 – 3 = m(-2)

2 = m (-2)

m = -1 **Ans**