Solve the system graphically. $\left\{ \begin{aligned}
6 x + 8 y & = 48 \
x - 8 y & = - 20
\end{aligned} \right.$
A)(6, 3)
B)(-4, -3)
C)(4, 3)
D)(6, 6)
E)(-6, -6)

Question

Solve the system graphically.  $\left\{ \begin{aligned}
6 x + 8 y & = 48 \
x - 8 y & = - 20
\end{aligned} \right.$  
A)(6, 3)
B)(-4, -3)
C)(4, 3)
D)(6, 6)
E)(-6, -6)

Quizplus · Accepted Answer

To solve the system graphically, we first convert each equation into slope-intercept form (y = mx + b). For the first equation, $6x + 8y = 48$, we get $y = -\frac{3}{4}x + 6$. For the second equation, $x - 8y = -20$, we get $y = \frac{1}{8}x - \frac{5}{2}$. Plotting these two lines on a graph, we find that they intersect at the point (4, 3), which corresponds to option C.

Solve the System Graphically {6x+8y=48x−8y=−20\left\{ \begin{aligned}6 x + 8 y & = 48 \\x - 8 y & = - 20\end{aligned} \right.{6x+8yx−8y​=48=−20​

Solve the System Graphically $\left\{ \begin{aligned}6 x + 8 y & = 48 \\x - 8 y & = - 20\end{aligned} \right.$