SOLUTION: Need help Solving the system by the addition method: 4x + 8y = 6 3x � 8y = 7 7x = 13 I added the x's and the y's cancelled and that left me with 7x=13? I don't think this

Question 202053: Need help Solving the system by the addition method:
4x + 8y = 6
3x � 8y = 7
7x = 13
I added the x's and the y's cancelled and that left me with 7x=13?
I don't think this answer is correct though. Please let me know what I am
doing wrong?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
You're on the right track. You just need to finish up.

Start with the given system of equations:

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 .

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

Now go back to the first equation.

Plug in .

Multiply.

Multiply EVERY term by the LCD to clear any fractions.

Multiply and simplify.

Subtract from 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.

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