Posted by **kelly** on Tuesday, June 11, 2013 at 8:49pm.

Use an elimination strategy to solve this linear system:

10x + 10y = 1030

5x + 5y = 135

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**MathMate**, Tuesday, June 11, 2013 at 9:16pm
These two lines are parallel and distinct, hence there are no solutions.

Show that this is the case by dividing the first one by two to get

5x+5y=515

Since both equations have 5x+5y on the left, and different values on the right, it shows that the two lines are parallel and distinct => no solutions.

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