Determine if each ordered pair is a solution to the given system of inequalities in two variables.
-$$\begin{array} { l }
x y = 56 \
x + y = - 15
\end{array}$$
(i) $( - 8 , - 7 )$; (ii) $( 7,8 )$
A) (i) Yes; (ii) No
B) (i) $\mathrm { No }$; (ii) $\mathrm { No }$
C) (i) No; (ii) Yes
D) (i) Yes; (ii) Yes

Question

Determine if each ordered pair is a solution to the given system of inequalities in two variables.
-$$\begin{array} { l } 
x y = 56 \
x + y = - 15
\end{array}$$
(i) $( - 8 , - 7 )$; (ii) $( 7,8 )$
A) (i) Yes; (ii) No
B) (i) $\mathrm { No }$; (ii) $\mathrm { No }$
C) (i) No; (ii) Yes
D) (i) Yes; (ii) Yes

Quizplus · Accepted Answer

For (i) $(-8, -7)$, substituting into the equations gives: $(-8) \times (-7) = 56$ and $(-8) + (-7) = -15$, which satisfies both equations. For (ii) $(7, 8)$, substituting gives: $7 \times 8 = 56$ but $7 + 8 = 15$, which does not satisfy the second equation.

Determine If Each Ordered Pair Is a Solution to the Given