Question

Which ordered pairs are solutions to the equation y=6x-1?

Answer 1

Step 1: Write out the equation

`y=6x-1`

Step 2: Substitute the ordered pair (3, 17) into the equation to check if it's a solution

`\begin{gathered} \text{ At the point (3, 17)} \\ x=3,y=17 \end{gathered}`

Substituting them into the equation, we have

`6(3)-1=18-1=17`

Hence, (3, 17) is a solution to the equation

Step 3: Substitute the ordered pair (-2, -13) into the equation to check if it's a solution

`\begin{gathered} \text{ At the point (-2, -13)} \\ x=-2,y=-13 \end{gathered}`

Substituting them into the equation, we have

`6(-2)-1=-12-1=-13`

Hence, (-2, -13) is a solution to the equation

Step 4: Substitute the ordered pair (1, 7) into the equation to check if it's a solution

`\begin{gathered} \text{ At the point (1, 7)} \\ x=1,y=7 \end{gathered}`

Substituting them into the equation, we have

`6(1)-1=6-1=5\\e7`

Hence, (1, 7) is not a solution to the equation

Step 3: Substitute the ordered pair (2, -13) into the equation to check if it's a solution

`\begin{gathered} \text{ At the point (2, -13)} \\ x=2,y=-13 \end{gathered}`

Substituting them into the equation, we have

`6(-2)-1=-12-1=-13`

Hence, (-2, -13) is a solution to the equation