A line passes through the point of intersection of the line `3x+y+1=0` and `2x-y+3=0` and makes equal intercepts with axes. Then, equation of the line is

Options

A. 5x+5y-3=0
B. x+5y-3=0
C. 5x-y-3=0
D. 5x+5y+3=0

Answer

A

Explanation

The point of intersection of the lines 3x+y+1=0 and 2x -y+3=0 ` is (-4/5, 7/5)` . The equation of line , which makes equal intercepts with axes, is x+y =a
`-4/5 + 7/5 = a Rightarrow a= 3/5 `
Now required equation of line is x+y `-3/5=0`
5 x+5y -3=0