Question 465133: Solve using the elimination method
2x – y = 8
4x – 2y = 16
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! Solve using the elimination method
2x – y = 8 -------> -4x + 2y = -16 {multiplied top equation by -2}
4x – 2y = 16
-4x + 2y = -16 {new top equation}
4x - 2y = 16 {original bottom equation}
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0 = 0 {added the two equations together}
= infinite solutions
- When the variable disappears and you get a true statement, such as 0 = 0,
then there are "infinite solutions". This means, the two lines intersect
in an infinite number of points. In other words, the two equations are equivalent,
and would create the same line when graphed.
- When the variable disappears and you get a false statement, such as 0 = 3,
then thee is "no solution". This means, the two lines would not intersect.
In other words, the two equations, when graphed, would create parallel lines.
For more help from me, visit: www.algebrahouse.com
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