Question

Show the work that leads you to your solution of the system above

Answer 1

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.