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

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) (Show Source): You can put this solution on YOUR website!
Start with the first equation.

Subtract from both sides.

So we have the system of equations:

Multiply the both sides of the first equation by -2.

Distribute and multiply.

So we have the new system of equations:

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

Group like terms.

Combine like terms.

Simplify.

Since is NEVER true, this means that there are no solutions.

So the system is inconsistent.

Answer by stanbon(75887) (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.
===========================================================
Cheers,
Stan H.

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