SOLUTION: Determine whether the pair of lines is parallel, perpendicular, or neither 2x+y=5 , 6�+3y=4

Question 759929: Determine whether the pair of lines is parallel, perpendicular, or neither 2x+y=5 , 6�+3y=4
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine whether the pair of lines is parallel, perpendicular, or neither 2x+y=5 , 6�+3y=4
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y = -2x + 5
y = -2x + 3/4
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slopes are the same so the lines are parallel.
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Cheers,
Stan H.
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Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines are parallel and will never intersect. So there are no solutions and the system is inconsistent.

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