SOLUTION: 2x+y=5 2y=10-4x solve this using substitution

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Question 178399This question is from textbook algebra tools for a changing world
: 2x+y=5
2y=10-4x
solve this using substitution This question is from textbook algebra tools for a changing world

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
2x%2By=5 Start with the first equation.


4x%2B2y=10 Multiply EVERY term by 2


4x%2Bhighlight%2810-4x%29=10 Plug in 2y=10-4x


0x%2B10=10 Combine like terms on the left side.


0x=10-10 Subtract 10 from both sides.


0x=0 Combine like terms on the right side.


0=0 Simplify.


Since this equation is ALWAYS true for any x value, this means x can equal any number.


So there are an infinite number of solutions.


This means that the system is dependent.