Solve the system of equations graphically. You can use your graphing calculator!

Question

y=−2x−1
3x − y =−7
(1 point)
Responses

Solution is (0, 2)
Solution is (0, 2)

Solution is (-1.5, 0)
Solution is (-1.5, 0)

Solution is (-1.6, 2.2 )
Solution is (-1.6, 2.2 )

Solution is (-1, -1)
Solution is (-1, -1)
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Answer 1

To solve the system of equations graphically, we need to graph both equations and find their point of intersection.

To graph the first equation y = -2x - 1, we can create a table of values:

x | y
_____
-2 | 3
-1 | 1
0 | -1
1 | -3
2 | -5

Plot these points on a graph and draw a line through them.

To graph the second equation 3x - y = -7, we can rearrange it to y = 3x + 7 and create a new table of values:

x | y
_____
-2 | 1
-1 | 4
0 | 7
1 | 10
2 | 13

Plot these points on the same graph and draw a line through them.

The point where the two lines intersect is the solution to the system of equations. Based on the graph, the approximate solution is (-1, -1).

Therefore, the correct response is Solution is (-1, -1).