SOLUTION: Solve the following system of linear equations, a) using Substitution In your submission, include the variable you solved for and the expression you obtained for the variable. Wr

Question 342712: Solve the following system of linear equations,
a) using Substitution
In your submission, include the variable you solved for and the expression you obtained for the variable. Write your answer as an ordered pair.
x+2y=5
2x+y=-2

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

Now in order to solve this system by using substitution, we need to solve (or isolate) one variable. I'm going to solve for y.

So let's isolate y in the first equation

Start with the second equation

Subtract from both sides

Rearrange the equation

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

Since , we can now replace each in the first equation with to solve for

Plug in into the first equation. In other words, replace each with . Notice we've eliminated the variables. So we now have a simple equation with one unknown.

Distribute to

Multiply

Combine like terms on the left side

Add 4 to both sides

Combine like terms on the right side

Divide both sides by -3 to isolate x

Divide

-----------------First Answer------------------------------

So the first part of our answer is:

Since we know that we can plug it into the equation (remember we previously solved for in the first equation).

Start with the equation where was previously isolated.

Plug in

Multiply

Combine like terms

-----------------Second Answer------------------------------

So the second part of our answer is:

-----------------Summary------------------------------

So our answers are:

and

which form the point

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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