Question

3. X = y -8 -X - y = 0 Step 1 Step 2 Step 3 Step 4 Fly-8) - y = 0 Solve for Y Solve for X Give Coordinate

Answer 1

The given system is

`\begin{cases}x=y-8 \\ -x-y=0\end{cases}`

Step 1: We combine the first equation with the second one

`-(y-8)-y=0`

Step 2: Solve for y.

First, we use the distributive property, then we combine like terms

`\begin{gathered} -y+8-y=0 \\ -2y+8=0 \end{gathered}`

Now, we subtract 8 from each side

`\begin{gathered} -2y+8-8=-8 \\ -2y=-8 \end{gathered}`

Then, we divide the equation by -2.

`\begin{gathered} (-2y)/(-2)=(-8)/(-2) \\ y=4 \end{gathered}`

Step 3: we solve for x.

`x=y-8=4-8=-4`

Step 4: Give Coordinate, we just have to write down the solutions as coordinates.

`(-4,4)`