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What is the point of intersection when the system of equations below is graphed on the coordinate plane?

x-y=1 and y-x=1

1 Answer

5 votes

Answer:

not exist

Explanation:

The coordinates of the intersection of the line are the solution of the system of equations.


\underline{+\left\{\begin{array}{ccc}x-y=1\\y-x=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad0=2\qquad\bold{FALSE}

The system of equations has no solution. Therefore, the lines are parallel (the intersection does not exist).

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