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Find the equation of the line passing through the point of intersection of the lines 5x - 2y + 7 = 0 and 3x - 4y - 5 = 0 that has equal intercepts on the axes.

Asked by Topperlearning User 30th April 2014, 8:09 AM
Answered by Expert
Answer:

Let the intercepts on the axes be a and b.

Since a = b
The point of intersection of lines 5x - 2y + 7 = 0 and 3x - 4y - 5 = 0 is open parentheses minus 19 over 7 comma space minus 23 over 7 close parentheses.
But the equation (i) passes through.open parentheses minus 19 over 7 comma space minus 23 over 7 close parentheses
minus 19 over 7 minus 23 over 7 equals a

rightwards double arrow a equals minus 6

T h e r e f o r e comma space t h e space e q u a t i o n space o f space t h e space l i n e space i s space g i v e n space b y

x plus y plus 6 equals 0
Answered by Expert 30th April 2014, 10:09 AM
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