Question

Use the drawing tool(s) to form the correct answers on the provided graph.

Answer 1

Answer:

$(-3,4)$,

Step-by-step explanation:

The given system of equations is

$\left \{ {{2x-3y=-18} \atop {3x+y=-5}} \right.$

To solve this system, we could multiply the second equation by 3, and solve for x:

$\left \{ {{2x-3y=-18} \atop {9x+3y=-15}} \right.\\11x=-33\\x=\frac{-33}{11}=-3$

Now, we replace this value in a equation to find y-value:

$3x + y = -5\\3(-3)+y=-5\\-9+y=-5\\y=-5+9\\y=4$

Therefore, the solution for the system is $(-3,4)$, you can observe this in the graph attached.

Answer 2

Answer:

2x– 3y = –18

3x + y = -5

Converting the equation in slope-intercept form

2x-3y= -18

-3y= -2x-18

-3y= -(2x+18)

3y=2x+18

y=(2x+18)/3

And for equation 2

y= -5-3x

For plotting the graph, the online graphing calculator desmos.com can be used.

The points can be calculated by putting negative and positive values of x in both equations.

The graph is attached as a picture.

As we can see from the graph that two lines intersect at (-3,4) so it is the solution of the given system of linear equations.