Question

Find the coordinates of the point of intersection of the lines 2x+y-10=0 and x+y-7=0

Answer 1

If they are intersction at a point,,then it shows that there will be one coordinate which will satisfy both...

let that coordinates b x and y

then

2x+y-10=0....I)

2x+2y-14=0...ii). (multiplying second equation by 2)

subtract ,ii)!from I)

y=2

putting this value in I) we get

2x=8

x=4

so, coordinates are(4,2),,which will be common in both.......