SOLUTION: HELP, I think the answer is no solution. Is that right, if not please show my how to do it. Use elimination to solve each system of equations. X=4Y+8 2X-8Y=-3

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: HELP, I think the answer is no solution. Is that right, if not please show my how to do it. Use elimination to solve each system of equations. X=4Y+8 2X-8Y=-3      Log On


   

Question 183032: HELP, I think the answer is no solution. Is that right, if not please show my how to do it. Use elimination to solve each system of equations. X=4Y+8 2X-8Y=-3
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x=4y%2B8 Start with the first equation.


x-4y=8 Subtract 4y from both sides.



So we have the system of equations:

system%28x-4y=8%2C2x-8y=-3%29


-2%28x-4y%29=-2%288%29 Multiply the both sides of the first equation by -2.


-2x%2B8y=-16 Distribute and multiply.


So we have the new system of equations:

system%28-2x%2B8y=-16%2C2x-8y=-3%29


Now add the equations together. You can do this by simply adding the two left sides and the two right sides separately like this:


%28-2x%2B8y%29%2B%282x-8y%29=%28-16%29%2B%28-3%29


%28-2x%2B2x%29%2B%288y%2B-8y%29=-16%2B-3 Group like terms.


0x%2B0y=-19 Combine like terms.


0=-19 Simplify.


Since 0=-19 is NEVER true, this means that there are no solutions.

So the system is inconsistent.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use elimination to solve each system of equations.
X=4Y+8
2X-8Y=-3
--------------
Rearrange:
x - 4y = 8
2x-8y = -3
---------------
Multiply 1st by 2 to get:
2x - 8y = 16
2x - 8y = -3
-----------------
Subtract to get:
0 = 19
==============
That is a contradiction resulting from assuming the x and the y in one
equation is the same as the x and the y in the other equation.
Conclusion: There is no solution; the lines are parallel.
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Cheers,
Stan H.