SOLUTION: this is an elimination problem i can not get it. 3x+2y=3 9x-8y=-2

Question 161680This question is from textbook intermediate algebra
: this is an elimination problem i can not get it.
3x+2y=3
9x-8y=-2 This question is from textbook intermediate algebra

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 first equation by 4.

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. Notice how the y terms cancel out.

Simplify.

Divide both sides by to isolate .

So the first part of the answer is

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

Now go back to the first equation.

Plug in .

Multiply.

Multiply both sides by the LCD to clear any fractions.

Distribute and multiply.

Subtract from both sides.

Combine like terms on the right side.

Divide both sides by to isolate .

Reduce.

So the second part of the answer is

=========================

Answer:

So the solutions are and which forms the ordered pair

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