Solve the system of equations graphically. You can use your graphing calculator!
y=−2x−1
3x − y =−7
(1 point)
Responses
Solution is (-1.5, 0)
Solution is (-1.5, 0)
Solution is (0, 2)
Solution is (0, 2)
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 find the point where the two lines intersect. We can do this by graphing both equations and seeing where the lines cross.
The first equation, y = -2x - 1, is a linear equation with a slope of -2 and a y-intercept of -1. Plotting this line on a graph, we get:
y = -2x - 1
The second equation, 3x - y = -7, can be rearranged to y = 3x + 7. This is also a linear equation, but this time with a slope of 3 and a y-intercept of 7. Plotting this line on the same graph, we get:
y = 3x + 7
To find the point of intersection, we look for the point where the two lines cross. From the graph, we can estimate that the point of intersection is (-1.5, 0).
Therefore, the solution to the system of equations is (-1.5, 0).
To solve the system of equations graphically, you can use a graphing calculator.
First, graph the equation y = -2x - 1. This is a linear equation with a slope of -2 and a y-intercept of -1.
Next, graph the equation 3x - y = -7. To graph this equation, rearrange it to y = 3x + 7. This is also a linear equation with a slope of 3 and a y-intercept of 7.
Now, look for the point where the two graphs intersect. This point represents the solution to the system of equations.
Based on the options given, it appears that the correct solution is (-1.5, 0). Therefore, the solution is (-1.5, 0).
To solve the system of equations graphically using a graphing calculator, you can follow these steps:
1. Enter the first equation, y = -2x - 1, into the graphing calculator.
2. Enter the second equation, 3x - y = -7, into the graphing calculator.
3. Graph both equations on the same coordinate plane.
4. Identify the point of intersection of the two graphs.
Based on the given options, the solution is the point (-1.5, 0) which is the point of intersection of the two graphs.