Solve 2x + 3y = 11 and 2x – 4y = – 24
Question.

Solve $2 x+3 y=11$ and $2 x-4 y=-24$ and hence tind the value of ‘ $m$ ‘ for which $y$ $=m x+3$

Solution:

2x + 3y = 11 ……(i)

2x – 4y = –24 ……(ii)

Subtract equation (ii) from (i), we get

2x + 3y – 2x + 4y = 11 + 24

7y = 35

y = 5

Substituting value of y in equation (i), we get

2x + 3 × 5 = 11

2x = 11 – 15

$x=-\frac{4}{2}=-2$

Now, x = –2, y = 5

Puting value of x & y in y = mx + 3

5 = –2m + 3

2 = –2m

m = –1
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