Determine if each ordered pair is a solution to the given system of inequalities in two variables.
-$$\begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 61 \
x + y = - 11
\end{array}$$
(i) $( 5,6 )$; (ii) $( 6,5 )$
A) (i) No; (ii) Yes
B) (i) Yes; (ii) Yes
C) (i) No; (ii) No
D) (i) Yes; (ii) No

Question

Determine if each ordered pair is a solution to the given system of inequalities in two variables.
-$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 61 \
x + y = - 11
\end{array}$$
(i) $( 5,6 )$; (ii) $( 6,5 )$
A) (i) No; (ii) Yes
B) (i) Yes; (ii) Yes
C) (i) No; (ii) No
D) (i) Yes; (ii) No

Quizplus · Accepted Answer

For (i) $5^2 + 6^2 = 25 + 36 = 61$ and $5 + 6 = 11$, which does not satisfy the second equation since it should be $-11$. For (ii) $6^2 + 5^2 = 36 + 25 = 61$ and $6 + 5 = 11$, which also does not satisfy the second equation.

Determine If Each Ordered Pair Is a Solution to the Given