Most of my students find that the mistakes they make are minimal, but are highly consequential. This linear system of equations calculator uses Cramer’s rule. There are a number of methods for solving a system of linear equations. This will allow you to compare work against what you have done and find mistakes. Solving a linear system of equations is a search for the values of the unknowns \(x, y, z\) such that each of the equations is satisfied. If you realize that your answer is not correct, you will need to check your work and you may even need to rework the problem. Some people do not like the extra work, but it is a way that you can ensure your answer is correct. After this, you will want to check your answers in the remaining two equations to make sure all three equations give you a true statement. Finally, use one of the original equations to replace the two known values into the equation, and solve for the final variable. Then use this value to solve for the other variable using either equations #4 or #5.
Now use equations #4 and #5 to eliminate one of the two variables and solve for the remaining variable. Then choose one of the equations you used to eliminate the first variable and use it with the unused equation to eliminate the same variable giving you a 5th equation (equation #5). Then choose two equations and eliminate that variable, giving you a new equation in 2 variables (equation #4). To solve a system of equation in 3 variables you will need to first choose which variable you will want to eliminate first. The solution: The ordered triple (-3, 1/2, 2) or x=-3 y=1/2 and z=2. This problem is long, please don't get half way and give up.
The problem: Solve the system of equations: Subscribe for new videos: Share this video:
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