Question

Which ordered pair is a solution to the following linear system?y = xy = –x(1, 1)(0, 0)(0, 1)(1, 0)

Answer 1

We want to find which ordered pair is a solution to the linear equations

`\begin{gathered} y=x \\ y=-x \end{gathered}`

For the first equation we make x = 0 and find y

`\begin{gathered} y=x \\ y=0 \\ putting\text{ y as 0} \\ 0=x \\ x=0 \end{gathered}`

Do the same for the second equation, we have

`\begin{gathered} y=-x \\ y=-0 \\ y=0 \\ putting\text{ y = 0} \\ 0=-x \\ x=0 \end{gathered}`

Hence the answer is x = 0 and y = 0

Hence the answer is (0, 0)