Question

Which of the following systems of equations has the solution (1, 4)? y = –3x – 1y = –x + 5 y = 3x + 1y = x – 5y = –x – 5

Answer 1

Step 1

To find the systems of equations that has the solution (1,4). The value of x, 1 input into the equations must give 4 as the value of y. We will now test the options.

1) y=-3x-1

`\begin{gathered} y=-3(1)-1 \\ y=-4 \\ False \end{gathered}`

2) y=-x+5

`\begin{gathered} y=-(1)+5=4 \\ True \end{gathered}`

3) y=3x+1

`\begin{gathered} y=3(1)+1=4 \\ True \end{gathered}`

4) y=x-5

`\begin{gathered} y=1-5=-4 \\ false \end{gathered}`

5) y=-x-5

`\begin{gathered} y=-(1)-5=-6 \\ False \end{gathered}`

Answer;

`\begin{gathered} y=-x+5 \\ y=3x+1 \\ \end{gathered}`