Use a graphing calculator to graph the equations $\left\{ \begin{array} { c }
x - 4 y = 1 \
\sqrt { x } - 1 = y
\end{array} \right.$ and find the solutions of the system.
A) $( 0,1 ) ; ( 2,9 )$
B) $( 1,0 ) ; ( 4,1 )$
C) $( 4,0 ) ; ( 16,2 )$
D) $( 1,0 ) ; ( 9,2 )$
E) $( 0,4 ) ; ( 2,16 )$

Question

Use a graphing calculator to graph the equations $\left\{ \begin{array} { c } 
x - 4 y = 1 \
\sqrt { x } - 1 = y
\end{array} \right.$ and find the solutions of the system.
A) $( 0,1 ) ; ( 2,9 )$ 
B) $( 1,0 ) ; ( 4,1 )$ 
C) $( 4,0 ) ; ( 16,2 )$ 
D) $( 1,0 ) ; ( 9,2 )$ 
E) $( 0,4 ) ; ( 2,16 )$

Quizplus · Accepted Answer

Using a graphing calculator or software, we can graph the two equations and observe their intersection points. We see that there are two intersection points, which appear to be approximately (1,0) and (9,2). To confirm these solutions, we can substitute them into the equations and verify that they satisfy both equations. Therefore, the best choice is D, which contains both of these intersection points.

Use a Graphing Calculator to Graph the Equations {x−4y=1x−1=y\left\{ \begin{array} { c } x - 4 y = 1 \\\sqrt { x } - 1 = y\end{array} \right.{x−4y=1x​−1=y​

Use a Graphing Calculator to Graph the Equations $\left\{ \begin{array} { c } x - 4 y = 1 \\\sqrt { x } - 1 = y\end{array} \right.$