Find out whether the pair of linear equation,x=y and x-2=y-2 are consistent or inconsistent
Question
Find out whether the pair of linear equation,x=y and x-2=y-2 are consistent or inconsistent
Solution
To determine whether the pair of linear equations x=y and x-2=y-2 are consistent or inconsistent, we can compare the coefficients of x and y in both equations.
In the first equation, x=y, the coefficient of x is 1 and the coefficient of y is -1.
In the second equation, x-2=y-2, the coefficient of x is 1 and the coefficient of y is -1.
Since the coefficients of x and y are the same in both equations, we can conclude that the pair of linear equations is consistent.
This means that there is a unique solution for the system of equations, where x and y have the same value.
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