116k views
4 votes
Show the work that leads you to your solution of the system above

Show the work that leads you to your solution of the system above-example-1
User Webbexpert
by
8.5k points

1 Answer

6 votes

Answer:

x = -3

y = 6

Step-by-step explanation:

We have to solve the system


\begin{gathered} y=-2x \\ x+y=3 \end{gathered}

by putting the value of the first equation into the second gives


x+(-2x)=3

which upon simplification gives


-x=3
\Rightarrow\boxed{x=-3}

With the value of x in hand, we now use the second equation to find the value of y.


\begin{gathered} y=-2x \\ y=-2(-3) \\ \end{gathered}
\boxed{y=6.}

Hence, the value of y is 6.

Therefore, our solution to the system is

x = -3 and y = 6.

User Shalni
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories