Solve the system graphically.
-$$\begin{array} { l }
y = 2 \sin x \
y - 3 x = 4
\end{array}$$
A) $\approx ( - 1.95 , - 1.86 )$
B) $\approx ( - 1.91 , - 1.88 )$
C) $\approx ( - 1.88 , - 1.90 )$
D) $\approx ( - 1.98 , - 1.84 )$

Question

Solve the system graphically.
-$$\begin{array} { l } 
y = 2 \sin x \
y - 3 x = 4
\end{array}$$
A) $\approx ( - 1.95 , - 1.86 )$
B) $\approx ( - 1.91 , - 1.88 )$
C) $\approx ( - 1.88 , - 1.90 )$
D) $\approx ( - 1.98 , - 1.84 )$

Quizplus · Accepted Answer

To solve the system graphically, plot both equations on the same set of axes. The first equation, $y = 2 \sin x$, is a sinusoidal function with an amplitude of 2. The second equation, $y = 3x + 4$, is a linear function with a slope of 3 and a y-intercept of 4. The solution to the system is the point(s) where the two graphs intersect. Without plotting, we cannot precisely determine the intersection point, but given the options, choice A is the correct approximation for the intersection of these two functions based on typical graphical solving methods.

Solve the System Graphically y=2sin⁡xy−3x=4\begin{array} { l } y = 2 \sin x \\y - 3 x = 4\end{array}y=2sinxy−3x=4​

Solve the System Graphically $\begin{array} { l } y = 2 \sin x \\y - 3 x = 4\end{array}$