I am solving for sytems of equations using the elimination method. Book says answers are 0,-1. I have tried solving for both x & y using both the 5 and 25 . I am not getting the 0,1 as my answer.
5x-5y=5
25x-25y=22
You must have a typo, since your two lines are parallel, and therefore they cannot meet.
Check your question again.
Thank you for your response.
I have found erros in the book. This is one of them.
To solve this system of equations using the elimination method, we need to eliminate one variable by multiplying one or both of the equations by appropriate constants so that the coefficients of one of the variables in both equations become equal.
Let's start by multiplying the first equation by 5:
5(5x-5y) = 5(5)
25x - 25y = 25
Now, let's compare this equation with the second equation:
25x - 25y = 25
25x - 25y = 22
We can see that the coefficients of both x and y are the same. This means that the two equations represent the same line, and there are infinitely many solutions rather than a unique solution.
Therefore, the book's answer of 0, -1 may be incorrect. It's possible that the book made a mistake or there was a typo in the question.
To verify the solution for yourself, you can substitute the coordinates (0, -1) into both equations and see if they hold true.