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**– 3 x**

Answer:

Given, pair of linear equations is

– 3x + 5y = 7

2px – 3y = 1

On comparing with ax + by + c = 0, we get

Here, a_{1} = -3, b_{1} = 5, c_{1} = – 7;

And a_{2} = 2p, b_{2} = – 3, c_{2} = – 1;

a_{1} /a_{2} = -3/ 2p

b_{1} /b_{2} = – 5/3

c_{1} /c_{2} = 7

Since, the lines are intersecting at a unique point i.e., it has a unique solution

a_{1}/a_{2} ≠ b_{1}/b_{2}

-3/2p ≠ -5/3

p ≠ 9/10

Hence, the lines represented by these equations are intersecting at a unique point for all real values of p except 9/10

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