Question

find the equation of the line passing through the intersection of the line x-2y+5=0 and 2x-3y-8=0 and the intersection of the lines 4x-94+13=0 and 8x-y-3=9.
​

Answer 1

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Answer 2

Let the equation of the line having equal intercepts on the axes be

a
x
​
+
a
y
​
=1

x+y=a....(1)
On solving equation 4x+7y−3=0 and 2x−3y+1=0 we obtain x=
13
1
​
andy=
13
5
​

∴{
13
1
​
,
13
5
​
} is the point of intersection of the two given lines.

Since equation (1) passes through point {
13
1
​
,
13
5
​
}

{
13
1
​
+
13
5
​
}=