Solving Systems of Equations by Graphing Quick Check 3 of 53 of 5 Items Question Use the image to answer the question. Estimate the solution to the system of these linear equations based on the graph. y=5x+10 y=−2x+3 (1 point) Responses (5,−1) left parenthesis 5 comma negative 1 right parenthesis (1, 5) left parenthesis 1 comma 5 right parenthesis (−1,−5) left parenthesis negative 1 comma negative 5 right parenthesis (−1, 5)
The correct answer is (5,-1).
What is the last step to solving a system of equations?(1 point) Responses Make a table of solutions of the linear equations. Make a table of solutions of the linear equations. Estimate the intersection point. Estimate the intersection point. Check the answer. Check the answer. Graph the lines.
The last step to solving a system of equations is to check the answer.
Estimate the solution to the system of these linear equations based on the graph. y=−5x+7 y=−2x+10 (1 point) Responses (−1,−12) left parenthesis negative 1 comma negative 12 right parenthesis (12,−1) left parenthesis 12 comma negative 1 right parenthesis (−1, 12) left parenthesis negative 1 comma 12 right parenthesis (1,−12)
The estimate solution to the system of equations based on the graph is (2, -1).
To estimate the solution to the system of linear equations, we need to look at the graph of the two equations provided: y = 5x + 10 and y = -2x + 3.
The solution to a system of equations is the point at which the two lines intersect. By examining the graph, we can determine an estimate for this point.
First, let's identify the x-coordinate where the two lines intersect. We can see that one line has a positive slope of 5, while the other line has a negative slope of -2. Hence, the lines will intersect somewhere in the upper-left quadrant. Looking at the graph, it appears that the x-coordinate of the intersection point is around 1.
Next, we need to determine the y-coordinate at which the lines intersect. From the graph, it looks like the y-coordinate is approximately 5.
So, based on the graph, the estimate for the solution to the system of linear equations is (1, 5). Therefore, the correct response is: (1, 5) (left parenthesis 1 comma 5 right parenthesis).
To estimate the solution to the system of linear equations based on the graph, you can look for the point where the two lines intersect.
Looking at the graph, it appears that the intersection point is approximately (5, -1). Therefore, the estimated solution to the system of linear equations is (5, -1).