What is the solution to the system of equations #x=y-3, x+3y=13#?

1 Answer
Dec 20, 2016

Answer:

#x=1, y=4#.

Explanation:

Here's one of many ways of solving this system. Since we are already told that #x=y-3# from the first equation, just plug in #y-3# everywhere you see an #x# in the second equation.

So the second equation becomes #(y-3)+3y=13#. Solve this for #y# to get #y=4#.

Then, go back to the first equation that says #x=y-3# and plug in #y=4#. So #x=1#.

Check your work by plugging in the values. #1=4-3# and #1+3(4)=13#, so we are right.