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

Question

asked Dec 11, 2023 55.5k views

1 Answer

Kubi · Answer 1 · 2023-12-17T23:52:22+0000

Step 1: Write out the equation

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

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

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

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