Question

Write solutions as an ordered pairY=-3x+6Y= 2x-4

Answer 1

The system of equations to be solved is

`\begin{cases}y=-3x+6 \\ y=2x-4\end{cases}`

Substitute the first equation into the second one as shown below

`\begin{gathered} y=-3x+6 \\ \Rightarrow-3x+6=2x-4 \\ \Rightarrow-5x=-10 \\ \Rightarrow x=-(10)/(-5)=2 \\ \Rightarrow x=2 \end{gathered}`

Therefore,

`\begin{gathered} \Rightarrow y=-3(2)+6=-6+6=0 \\ \Rightarrow y=0 \end{gathered}`

Thus, the solution to the system is (x,y)=(2,0)