Answer:
The ordered pair which are solution to the equation are:
B. (-1,-6)
C. (7,0)
D. (11,3)
Step-by-step explanation:
We are given a equation in terms of variables x and y as follows:
\(3x-4y=21\)
The ordered pair which are solutions to the equation are the points which when substituted to the equation satisfies the equation.
A)
(-3,3)
i.e. we put x= -3 and y=3 we get:
\(3\times (-3)-4\times 3=21\\\\i.e.\\\\-9-12=21\\\\i.e.\\\\-21=21\)
which is not possible.
Hence, (-3,3) is not a solution to the equation.
B)
(-1,-6)
we put x=-1 and y=-6 into the equation to get:
\(3\times -1-4\times (-6)=21\\\\i.e.\\\\-3+24=21\\\\i.e.\\\\21=21\)
Hence, (-1,-6) is a solution to the equation.
C)
(7,0)
we put x=7 and y=0 in the equation.
i.e.
\(3\times 7-4\times 0=21\\\\i.e.\\\\21-0=21\\\\i.e.\\\\21=21\)
Hence, (7,0) is a solution to the equation.
D)
(11,3)
we put x=11 and y=3 into the equation.
i.e.
\(3\times 11-4\times 3=21\\\\i.e.\\\\33-12=21\\\\i.e.\\\\21=21\)
Hence, (11,3) is a solution to the equation.
