Write a pair of linear equations which has the unique solution $x = -1, y = 3$. How many such pairs can you write?
Given:
A pair of linear equations has the unique solution $x = -1, y = 3$.
To do:
We have to write a pair of linear equations which has the unique solution $x = -1, y = 3$.
Solution:
We know that,
There are infinite lines passing through a point $(x, y)$.
The general form of a linear equation in two variables is $ax+by+c=0$.
Equations of pair of lines passing through the point $x = -1, y = 3$ is $4x+2y=2$ and $3x+y=0$.
There are infinite lines passing through the point $(-1, 3)$.
Therefore, we can write infinite such pairs.
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