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The answer will depend on the nature of the equations and the level of your knowledge.
Probably the simplest way to deal with a general problem is to do it graphically. As long as you can calculate the values of the equations, you can plot them and the solutions are a subset of the points of intersection.
If the equations are all linear and do have a solution then inverting the matrix of coefficients is probably simplest way. In some respects this is like
- selecting one equation,
- using it to express on variable in terms of the others,
- substituting the expression for that variable in all the other equations.
That reduces the number of equations and variables by one. Continue until you have just one variable whose value you can determine. Substitute this value in one of the last two equations and you will then have two known variables. Go back up the line until you have them all.
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How can you use a graph to solve systems of equations?
You can use a graph to solve systems of equations by plotting the two equations to see where they intersect
Why do you solve systems of equations?
because you need maths in your life.. everyone does
What did ABC computers do?
solve systems of up to 29 simultaneous equations.
How can you solve a system of equations?
The answer depends on whether they are linear, non-linear, differential or other types of equations.
Solve linear equations with complex coefficients on both sides?
You would solve them in exactly the same way as you would solve linear equations with real coefficients. Whether you use substitution or elimination for pairs of equations, or matrix algebra for systems of equations depends on your requirements. But the methods remain the same.
What is an Homotopy continuation Method?
A way to solve a system of equations by keeping track of the solutions of other systems of equations. See link for a more in depth answer.
What does it mean by solving linear systems?
Solving linear systems means to solve linear equations and inequalities. Then to graph it and describing it by statical statements.
Is linear algebra and linear equations the same?
Linear Algebra is a branch of mathematics that enables you to solve many linear equations at the same time. For example, if you had 15 lines (linear equations) and wanted to know if there was a point where they all intersected, you would use Linear Algebra to solve that question. Linear Algebra uses matrices to solve these large systems of equations.
How do you solve 9- 2 equations?
7
What is the use of gaussian elimination in education world situations?
Gaussian elimination is used to solve systems of linear equations.
How do you solve systems of equations using substitution?
3(5x-2y)=18 5/2x-y=-1
How do you apply laplace transform method to solve systems of ordinary DEs?
you apply the Laplace transform on both sides of both equations. You will then get a sytem of algebraic equations which you can solve them simultaneously by purely algebraic methods. Then take the inverse Laplace transform .
