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I will give you a very simple example and you can see how it is done x+y=10 -x+y=30 So if we add these equations together, we eliminate the variable x. We can do this since adding equal thing to other equal things always gives us equal things. So we have 2y=40 or y=20 Now plug that back in either equation. x+20=10 and we have x=-10
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Calculate the simultaneous equation 3y2x plus 25x6 plus 2y using elimination method?
Without any equality signs the given terms can't be considered to be simultaneous equations.
Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method?
Solve the following systems of simultaneous linear equations using Gauss elimination method and Gauss-Seidel Method 2x1+3x2+7x3 = 12 -----(1) x1-4x2+5x3 = 2 -----(2) 4x1+5x2-12x3= -3 ----(3) Answer: I'm not here to answer your university/college assignment questions. Please refer to the related question below and use the algorithm, which you should have in your notes anyway, to do the work yourself.
When is it best to solve a systems of linear equations using elimination?
Elimination is particularly easy when one of the coefficients is one, or the equation can be divided by a number to reduce a coefficient to one. This makes substitution and elimination more trivial.
Why preferred standard form?
Standard form for equations of two variables is preferred when solving the system using elimination.
How do you decide whether to use elimination or subsitution to solve a three-variable system?
There is no simple answer. Sometimes, the nature of one of the equations lends itself to the substitution method but at other times, elimination is better. If they are non-linear equations, and there is an easy substitution then that is the best approach. With linear equations, using the inverse matrix is the fastest method.
