SOLUTION: in my math class we are solving linear equations using the subtitution method there two problems i didnt get, this is one x-3y=0 3x+y=7 this is the set of numbers and we have

Question 179040This question is from textbook
: in my math class we are solving linear equations using the subtitution method
there two problems i didnt get, this is one
x-3y=0
3x+y=7
this is the set of numbers and we have to solve for the x and y values of the number equations
This question is from textbook

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 second equation

Start with the second equation

Subtract from both sides

Rearrange the equation

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

Since , we can now replace each in the second 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 21 to both sides

Combine like terms on the right side

Divide both sides by 10 to isolate x

-----------------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 second equation).

Start with the equation where was previously isolated.

Plug in

Multiply

Combine like terms (note: if you need help with fractions, check out this solver)

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

So the second part of our answer is:

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

So our answers are:

and

which form the point

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