Solve the system of equations by any method: substitution, or elimination? y=2x-4y and 4x+1=10y+7

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substitution

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Answer 1 · 2018-03-31T01:06:45

No solution - the two lines are parallel

Let's use substitution:

Equation 1:

#y=2x-4y#

#5y=2x=>10y=4x#

We can substitute that into equation 2:

#4x+1=10y+7#

#10y+1=10y+7#

And we run into a problem with the question - these equations have no joint solution.

We can graph the two of them to see:

Equation 1:

#10y=4x=>y=2/5x#

Equation 2:

#10y=4x-6=>y=2/5x-3/5#

These two equations describe 2 parallel lines:

graph{(y-2/5x)(y-2/5x+3/5)=0}