Use a graphing utility to solve the system of equations.Find the solution accurate to two decimal places. $$\left\{ \begin{array} { l }
y = 2 e ^ { - x } \
y = \ln ( x - 2 ) + 1
\end{array} \right.$$
A)(0.13,1.76)
B)(- 1.40,0.49)and (- 0.25,1.56)
C)no real solution
D)(4.77,0.07)
E)(2.44,0.17)

Question

Use a graphing utility to solve the system of equations.Find the solution accurate to two decimal places.​ $$\left\{ \begin{array} { l } 
y = 2 e ^ { - x } \
y = \ln ( x - 2 ) + 1
\end{array} \right.$$ ​
A)​(0.13,1.76)
B)​(- 1.40,0.49)and (- 0.25,1.56)
C)no real solution
D)​(4.77,0.07)
E)​(2.44,0.17)

Quizplus · Accepted Answer

The solution to the system of equations is the point where the graphs of the equations intersect. Using a graphing utility, the intersection point is approximately (2.44, 0.17).

Use a Graphing Utility to Solve the System of Equations {y=2e−xy=ln⁡(x−2)+1\left\{ \begin{array} { l } y = 2 e ^ { - x } \\y = \ln ( x - 2 ) + 1\end{array} \right.{y=2e−xy=ln(x−2)+1​

Use a Graphing Utility to Solve the System of Equations $\left\{ \begin{array} { l } y = 2 e ^ { - x } \\y = \ln ( x - 2 ) + 1\end{array} \right.$