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