Question

Find the equation of line passing through the origin and the point of intersection of the lines x + 2y = 5 and 2x - y + 3 = 0.

Answer 1

Step-by-step explanation:

5x+7y=3...(1) and

2x−3y=7...(2)

Solving (1) and (2) , we get,

(x,y)=(2,−1)

Therefore the equation of line passing through (0,0) and (2,−1) is

(y−0)=

2−0

−1−0

(x−0)

2y=−x

∴x+2y=0 is the required equation

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