Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-$$\begin{array} { l }
y = e ^ { 2 x + 3 } \
2 x + y = 3
\end{array}$$
A) $\{ ( - 0.75,4.50 ) \}$
B) $\{ ( - 0.75 , - 4.50 ) \}$
C) $\{ ( 0.75 , - 4.50 ) \}$
D) $\{ ( 0.75,4.50 ) \}$

Question

Use a graphing calculator to solve the nonlinear system. Give x- and y-coordinates to the nearest hundredth.
-$$\begin{array} { l } 
y = e ^ { 2 x + 3 } \
2 x + y = 3
\end{array}$$
A) $\{ ( - 0.75,4.50 ) \}$
B) $\{ ( - 0.75 , - 4.50 ) \}$
C) $\{ ( 0.75 , - 4.50 ) \}$
D) $\{ ( 0.75,4.50 ) \}$

Quizplus · Accepted Answer

To solve the system, substitute $y = e^{2x + 3}$ into the second equation to get $2x + e^{2x + 3} = 3$. Using a graphing calculator to find the intersection of these equations, the solution is approximately $x = -0.75$ and $y = 4.50$, which corresponds to choice A.

Use a Graphing Calculator to Solve the Nonlinear System y=e2x+32x+y=3\begin{array} { l } y = e ^ { 2 x + 3 } \\2 x + y = 3\end{array}y=e2x+32x+y=3​

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