Estimate the solution to the system of these linear equations based on the graph.

y = 5x+10

y = −2x+3

9 answers

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.