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Find the equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0 and cutting off equal intercepts on the coordinate axes.

Find the equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0


 


and cutting off equal intercepts on the coordinate axes.

Grade:11

1 Answers

jitender lakhanpal
62 Points
7 years ago

hi prince

let the line cuts the x and y axes at (a,0) and (0,a)

the line will have equation

x/a + y/a = 1   line intercept form

and find the point from which it is passing by solving the given two equations

and put in the above equation you will get the value of a

 

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