Estimate the solution to the system of these linear equations based on the graph.
y = 5x+10
y = −2x+3
Based on the graph, it appears that the two lines intersect at the point (1, 15). This means that the solution to the system of equations is x = 1 and y = 15.
Estimate the solution to the system of these linear equations based on the graph.
y = 5x + 10
y = −2x + 3
Based on the graph, it looks like the two lines intersect at approximately (1.5, 17.5). Therefore, the estimated solution to the system of equations is x ≈ 1.5 and y ≈ 17.5.
What is the last step to solving a system of equations?
The last step to solving a system of equations is to substitute the values of the variables found in the previous steps back into one of the original equations to find the corresponding values of the other variable. This step ensures that the solution satisfies both equations and helps to verify the correctness of the solution.
What is the last step to solving a system of equations?
Check the answer.
Estimate the intersection.
Make a table of solutions of the linear equations.
Graph the lines.
The last step to solving a system of equations is to check the answer. This involves substituting the values of the variables found in the previous steps back into both original equations to ensure that they satisfy both equations. By checking the answer, we can verify that the solution is correct and accurately solves the system of equations.
Estimate the solution to the system of these linear equations based on the graph.
y = −5x + 7
y = −2x + 10
Based on the graph, it appears that the two lines intersect at approximately (-1, 12). This means that the estimated solution to the system of equations is x ≈ -1 and y ≈ 12.
To estimate the solution to the system of linear equations based on the graph, you can follow these steps:
1. Plot the two equations on a graph.
The first equation, y = 5x + 10, is in the slope-intercept form (y = mx + b), where m is the slope (in this case 5) and b is the y-intercept (in this case 10).
The second equation, y = -2x + 3, is also in the slope-intercept form, with a slope of -2 and a y-intercept of 3.
Use these values to plot the lines on the graph.
2. Look for the point where the two lines intersect.
This point represents the solution to the system of equations.
If the lines do not intersect, it means that there is no solution to the system.
3. Estimate the coordinates of the intersection point.
Find the approximate x-coordinate and y-coordinate of the point where the lines intersect.
You can do this by visually estimating the nearest grid points of the intersection.
Note: It's important to note that this method provides only an estimate and may not be entirely accurate. For a more precise solution, you can also use algebraic methods such as substitution or elimination to solve the system.