Question

Find the point of intersection of the lines 5x+7y=3 and 2x-3y=7

Answer 1

solving eq 1 and 2 we get

$x = 5$

$y = 1$

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• THERE FORE THE PIINT OF INTERSECTION IS (5,1)

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Answer 2

Answer:

x=2 and y=1

Step-by-step explanation:

As lines are intersecting there will be a common point , let that common point be "A"

now as both points intersect at A so ther equations can be satisfied by A(x,y)

so we solve these 2 equations

for solving 5x+7y=3----[1]    and 2x-3y=7----------[2]    , we multiply:

   [1] by 3    +       [2] by 7          { [1]  and [2]   are names i gave the equations                                                                                                       .                                                                            please do not get confused}

so we get:

15x+21y=9     and     14x-21y=49 and the 21y gets cancelled from addition so we are left with:

29x=58       after adding

and as 29 multiplied by 2 is 58

therefore ,

x=2  and put this in [1]    you will get y=1

so your answer is A(2,1)

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