Draw the graphs of the pair of linear equations. $\begin{array} { l }
3 x + 2 y = 20 \
2 x - 3 y = 22
\end{array}$

Question

Draw the graphs of the pair of linear equations. $\begin{array} { l } 
3 x + 2 y = 20 \
2 x - 3 y = 22
\end{array}$

Quizplus · Accepted Answer

To graph the pair of linear equations, we can first rewrite them in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

For the first equation: 
3x + 2y = 20 
2y = -3x + 20 
y = (-3/2)x + 10

For the second equation: 
2x - 3y = 22 
-3y = -2x + 22 
y = (2/3)x - (22/3)

Now we can plot the graphs of these two lines and find their intersection point, which is the solution to the system of equations.

The graph in choice B correctly illustrates this, showing two lines intersecting at the point (-6,14). Therefore, B is the best choice.

Draw the Graphs of the Pair of Linear Equations 3x+2y=202x−3y=22\begin{array} { l } 3 x + 2 y = 20 \\2 x - 3 y = 22\end{array}3x+2y=202x−3y=22​