SOLUTION: On graph paper, graph the two lines associated with the equations in this system of equations. 3x - 3y = 124y - 8x = -16

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: On graph paper, graph the two lines associated with the equations in this system of equations. 3x - 3y = 124y - 8x = -16      Log On


   

Question 1049178: On graph paper, graph the two lines associated with the equations in this system of equations.
3x - 3y = 124y - 8x = -16
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
What two lines? What two equations? You show only one single combination equation, 3x - 3y = 124y - 8x = -16, or 3x+-+3y+=+124y+-+8x+=+-16. Where is the break between the two equations you have?


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You have these then:
system%283x-3y=124y-8x%2C124y-8x=-16%29

3x%2B8x-3y-124y=0
11x-127y=0
and you can find the axis intercepts to help with graphing.
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124y-8x=-16
62y-4x=-8
31y-2x=-4
31y=2x-4
y=%282%2F31%29x-4%2F31
but again you might want 2x-31y=4 to help with the axis intercepts for graphing.


The system using standard form is system%2811x-127y=0%2C2x-31y=4%29.



The same system using slope-intercept forms is system%28y=%2811%2F127%29x%2Cy=%282%2F31%29x-4%2F31%29.
graph%28400%2C400%2C-5%2C5%2C-5%2C5%2C11x%2F127%2C2x%2F31-4%2F31%29
Or a much closer look:
graph%28400%2C400%2C-2%2C2%2C-2%2C2%2C11x%2F127%2C2x%2F31-4%2F31%29


They are not parallel. They do intersect somewhere over at the left.

graph%28400%2C400%2C-8%2C3%2C-8%2C3%2C11x%2F127%2C2x%2F31-4%2F31%29
Difficult to get to the intersection graphically. Use algebra skills to solve the system.

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Your single posted combined equation IS NOT what you have. No spacing or other proper break was used within the number "124". If you really have 3x-3y=12 AND 4y-8x=-16, then show them correctly!
Say that the equations are 3x-3y=12, THEN A COMMA, and then 4y-8x=-16; OR split each into separate line, like:
3x-3y=12
4y-8x=-16
OR
system%283x-3y=12%2C4y-8x=-16%29

Running the two together on same line and leaving no other distinction nor space between shows something totally different than you really have. This makes the results totally different than the solution shown in this post.