Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-$$\begin{array} { l }
x ^ { 2 } + y ^ { 2 } = 13.85 \
x = 3 y - 1
\end{array}$$
A) $\{ ( - 11.26 , - 3.42 ) , ( 11.06,4.02 ) \}$
B) $\{ ( 1.47,3.42 ) , ( - 0.87 , - 3.62 ) \}$
C) $\{ ( - 3.41 , - 1.47 ) , ( 3.62,0.87 ) \}$
D) $\{ ( 3.42,1.47 ) , ( - 3.62 , - 0.87 ) \}$

Question

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-$$\begin{array} { l } 
x ^ { 2 } + y ^ { 2 } = 13.85 \
x = 3 y - 1
\end{array}$$
A) $\{ ( - 11.26 , - 3.42 ) , ( 11.06,4.02 ) \}$
B) $\{ ( 1.47,3.42 ) , ( - 0.87 , - 3.62 ) \}$
C) $\{ ( - 3.41 , - 1.47 ) , ( 3.62,0.87 ) \}$
D) $\{ ( 3.42,1.47 ) , ( - 3.62 , - 0.87 ) \}$

Quizplus · Accepted Answer

The correct answer is obtained by substituting $x = 3y - 1$ into the equation $x^2 + y^2 = 13.85$ and solving for $y$, then using the value(s) of $y$ to find $x$. Graphing calculators can solve this system directly, yielding the approximate solutions provided in option D.

Use a Graphing Calculator to Solve the Nonlinear System x2+y2=13.85x=3y−1\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13.85 \\x = 3 y - 1\end{array}x2+y2=13.85x=3y−1​

Use a Graphing Calculator to Solve the Nonlinear System $\begin{array} { l } x ^ { 2 } + y ^ { 2 } = 13.85 \\x = 3 y - 1\end{array}$