Question

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

Answer 1

The answer is: you can’t.

First lets solve for the intersection of 2x+y-3=0 (eqn1) and 3x-y-7=0 (eqn2).

Rewrite eqn1 as: y=3–2x

Substitute y from eqn1 to eqn2. You will get,

3x-(3–2x)-7=0

Solving for x and y, you get:

x=2 and y=-1

As you see, you only have one point which is (2,-1). In order to find the equation of a line, you have to have the following:

Two points

A point and a slope.

Therefore, you won’t be able to get the equation of the line.

Answer 2

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