Question

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

Graph the system of equations given below on the provided graph.
2x– 3y = –18
3x + y = -5
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Answer 1

`(-3,4)`,

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=(-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

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.