write a pair of linear equations formed by lines representing which has unique solution x is equal to 1 and Y is equal to 3 how many such pairs are there
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Answer: x+y=4, 3x-y=0.
(This is not the only possible answer, many other anwers are possible.
Step-by-step explanation:
The ratio of coefficients of x is 1:3 while that of y is -1:1. Hence, they have unique solutions.
By adding both equations, 4x=4 => x=1, by substituting in either equation, y=3.
There can be infinitely many pairs which have the unique solution (1,3).
For example, 4x-y=1, 6x-5y+9=0
or x-y+2=0, 3x-2y+3=0 etc. Hence, there are infinitely many pairs of such equations.
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