Solve the system of equations graphically. You can use your graphing calculator!
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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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).
To solve the system of equations graphically, you can plot the two equations on a graphing calculator and find their point of intersection.
The first equation is y = -2x - 1.
The second equation is 3x - y = -7, which can also be written as y = 3x + 7.
Plotting these two equations on a graphing calculator will provide the following solution: (-1.5, 0).
Therefore, the correct solution is (Solution is (-1.5, 0)).
To solve the system of equations graphically, you can use a graphing calculator. Here's how to do it:
1. Start by entering the first equation, y = -2x - 1, into your graphing calculator.
2. Next, enter the second equation, 3x - y = -7, into your graphing calculator.
Now, you should have both equations graphed on your calculator.
3. Look for the point where the two lines intersect on the graph. This point represents the solution to the system of equations.
In this case, the point of intersection appears to be (0, 2).
Therefore, the solution to the system of equations graphically is (0, 2).