SOLUTION: Solve by rearranging the equations first. Then use the multiplication principle and then use the elimination method: 3x=8y+11 x+6y-8=0 I know rearranged they are: 3x-8y=

Question 373989: Solve by rearranging the equations first. Then use the multiplication principle and then use the elimination method:
3x=8y+11
x+6y-8=0
I know rearranged they are:
3x-8y=11
x+6y=8
But then I would need to take -3 times (3x-8y=11)
After figuring it out my answer is y=-35 over 26. But I do not think I am right!! Please help!!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Multiply the both sides of the second equation by -3.

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.

Divide both sides by to isolate .

Reduce.

------------------------------------------------------------------

Now go back to the first equation.

Plug in .

Multiply.

Add to both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the solutions are and .

Which form the ordered pair

.

This means that the system is consistent and independent.

If you need more help, email me at jim_thompson5910@hotmail.com

Also, feel free to check out my tutoring website

Jim
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