Question

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

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Answer 1

Answer:

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Explanation:

One point on the final line is (2,−1). The other points is given by the intersection of two lines given by equations:

2x+y−3=0

3x−y−7=0

Adding,

5x−10=0

x=2

y=3−2x=−1

Oh, we got (2,−1) as the intersection, so there’s no unique line because we only have one point, not two.

The general line through (2,−1) is

a(x−2)=b(y+1)

for arbitrary ratio a:b .