What is the last step to solving a system of equations? (1 point)
A. Graph the lines.
B. Make a table of solutions of the linear equations.
C. Check the answer.
D. Estimate the intersection point.
C. Check the answer.
C. Check the answer.
The last step to solving a system of equations can vary depending on the method you have used to solve the system.
If you have solved the system of equations graphically, then the last step would be A. Graph the lines and identify the point of intersection. This is where the solutions of the system lie.
If you have solved the system of equations algebraically, one common method is to use substitution or elimination to find the values of the variables. In this case, the last step would be C. Check the answer. After finding the values of the variables, it's important to substitute these values back into the original equations to make sure they satisfy all the equations simultaneously. If the values satisfy all the equations, then they are the correct solution to the system.
B. Make a table of solutions of the linear equations and D. Estimate the intersection point are not typically the last steps in solving a system of equations. Making a table can be a helpful way to organize the solutions and estimate the values of the variables, but it is not usually the final step. Similarly, estimating the intersection point is not a reliable method for finding the exact solution of a system of equations. It can give you an approximate solution, but it's always best to find the exact solution.