What is the last step to solving a system of equations? (1 point)
Make a table of solutions of the linear equations.
Estimate the intersection point.
• Graph the lines.
• Check the answer.
The last step to solving a system of equations is to check the answer.
The last step to solving a system of equations is to check the answer.
The last step to solving a system of equations is to check the answer. This is important to ensure that the solution is correct and satisfies all the given equations in the system.
To check the answer, substitute the values of the variables obtained from solving the system back into each equation. If the resulting values make each equation true, then the solution is correct.
To illustrate how to check the answer, let's consider an example system of equations:
Equation 1: 2x + 3y = 13
Equation 2: -x + 4y = 7
Suppose the solution obtained is x = 2 and y = 3. To check this solution, we substitute these values into both equations:
For Equation 1:
2(2) + 3(3) = 4 + 9 = 13
For Equation 2:
-(2) + 4(3) = -2 + 12 = 10
Since the resulting values in both equations are not equal to the right-hand sides of the equations (13 in Equation 1 and 7 in Equation 2), the solution (x = 2, y = 3) is not correct. In this case, you may need to go back and review your work to find the mistake or rework the equations to find the correct solution.
So, in summary, the last step is to check the solution by substituting the values back into each equation and verifying that they satisfy all the given equations in the system.