SOLUTION: The question I need help with is of a systems of equations. Here is the question. y=-x+2 x+2y=6 _______ SOLVE WITH PROCESS OF ELIMINATION PLEASE! Thank u.

Question 169997: The question I need help with is of a systems of equations. Here is the question.

y=-x+2
x+2y=6
_______
SOLVE WITH PROCESS OF ELIMINATION PLEASE!
Thank u.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the first equation

Add "x" to both sides

So we have the system of equations:

Multiply the both sides of the first equation by -1.

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 x terms cancel out.

Simplify.

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

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 our answer is and .

Which form the ordered pair

.

This means that the system is consistent and independent.

Notice when we graph the equations, we see that they intersect at

. So this visually verifies our answer.

Graph of (red) and (green)

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