Question

Determine if the following odered pairs are the solutions choose the correct letter

Answer 1

Given the equation below

`3x+y=21`

Given the following ordered pairs below

`\begin{gathered} (3,11) \\ (7,0) \\ (0,21) \end{gathered}`

To find out if the ordered pairs are solutions to the given equation,

Substitute for x and y to find out if its equal to the right side

Given the ordered pair (3,11)

Where x = 3 and y = 11, substitute for x and y into the equation

`\begin{gathered} 3x+y=21 \\ 3(3)+11=21 \\ 9+11=20 \\ 20\\e21 \end{gathered}`

The ordered pair solution is not equal to the right side because result is 20 which is not equal to the right side.

Thus, the answer is A

For the ordered pair (7,0)

Where x = 7 and y = 0, substitute for x and y into the equation

`\begin{gathered} 3x+y=21 \\ 3(7)+0=21 \\ 21+0=21 \\ 21=21 \end{gathered}`

The ordered pair solution is equal to the right side because result is 21

Thus, the answer is B

For the ordered pair (0,21)

Where x = 0 and y = 21, substitute for x and y into the equation

`\begin{gathered} 3x+y=21 \\ 3(0)+21=21 \\ 0+21=21 \\ 21=21 \end{gathered}`

The ordered pair solution is equal to the right side because result is 21