Solve the system graphically. $\left\{ \begin{aligned}
x - y & = 1 \
6 x - 3 y & = 24
\end{aligned} \right.$
A)(-8, -7)
B)(-7, -6)
C)(7, 6)
D)(7, 7)
E)(8, 7)

Question

Solve the system graphically.  $\left\{ \begin{aligned}
x - y & = 1 \
6 x - 3 y & = 24
\end{aligned} \right.$  
A)(-8, -7)
B)(-7, -6)
C)(7, 6)
D)(7, 7)
E)(8, 7)

Quizplus · Accepted Answer

To solve the system graphically, we first rewrite each equation in slope-intercept form (y = mx + b). For the first equation, $x - y = 1$, we get $y = x - 1$. For the second equation, $6x - 3y = 24$, dividing everything by 3 gives $2x - y = 8$, or $y = 2x - 8$. Graphing these two lines, we find that they intersect at the point (7, 6), which is option C.

Solve the System Graphically {x−y=16x−3y=24\left\{ \begin{aligned}x - y & = 1 \\6 x - 3 y & = 24\end{aligned} \right.{x−y6x−3y​=1=24​

Solve the System Graphically $\left\{ \begin{aligned}x - y & = 1 \\6 x - 3 y & = 24\end{aligned} \right.$