Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
$\begin{array} { l }
x ^ { 2 } - y ^ { 2 } = 7.82 \
x = 2 y - 5
\end{array}$
A) {(-2.97,-1.01),(6.31,-5.65)}
B) {(-2.97,1.01),(6.31,5.65)}
C) {(-6.31,-5.65),(2.97,-1.01)}
D) {(-6.31,5.65),(2.97,1.01)}

Question

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
$\begin{array} { l } 
x ^ { 2 } - y ^ { 2 } = 7.82 \
x = 2 y - 5
\end{array}$
A) {(-2.97,-1.01),(6.31,-5.65)} 
B) {(-2.97,1.01),(6.31,5.65)} 
C) {(-6.31,-5.65),(2.97,-1.01)} 
D) {(-6.31,5.65),(2.97,1.01)}

Quizplus · Accepted Answer

Solving the system using a graphing calculator involves graphing both equations and finding their intersection points. The first equation is a hyperbola, and the second is a line. The solutions are the coordinates of the points where the line intersects the hyperbola. The correct coordinates, rounded to the nearest hundredth, are (-2.97, 1.01) and (6.31, 5.65), which matches option B.

Use a Graphing Calculator to Solve the Nonlinear System x2−y2=7.82x=2y−5\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 7.82 \\x = 2 y - 5\end{array}x2−y2=7.82x=2y−5​

Use a Graphing Calculator to Solve the Nonlinear System $\begin{array} { l } x ^ { 2 } - y ^ { 2 } = 7.82 \\x = 2 y - 5\end{array}$