Given the equation below
[tex]3x+y=21[/tex]
Given the following ordered pairs below
[tex]\begin{gathered} (3,11) \\ (7,0) \\ (0,21) \end{gathered}[/tex]
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
[tex]\begin{gathered} 3x+y=21 \\ 3(3)+11=21 \\ 9+11=20 \\ 20\ne21 \end{gathered}[/tex]
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
[tex]\begin{gathered} 3x+y=21 \\ 3(7)+0=21 \\ 21+0=21 \\ 21=21 \end{gathered}[/tex]
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
[tex]\begin{gathered} 3x+y=21 \\ 3(0)+21=21 \\ 0+21=21 \\ 21=21 \end{gathered}[/tex]
The ordered pair solution is equal to the right side because result is 21
