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Solving a System of 2 Equations Using the Addition/Subtraction Method
To solve a system of linear equations using the addition/subtraction method, both equations should first be written in the form Ax + By = C.
Let's take a look at the system of equations below:
x + 2y = 3
15x - 2y = 29
As shown below, adding the equations together eliminates one of the variables. In this case, it's the y-variable that is eliminated.. Now we're left with 16x = 32. Solving for x, we get x = 2.
Substitute 2 for the x-variable in either of the original equations and solve for y. (We'll use the equation x + 2y = 3 because it looks simpler.)
x + 2y = 32+2y = 32y = 1Y = 1/2So we claim that the solution to the system is (2, 1/2) Now check this answer in both of the original equations: Therefore, the solution to the system is (2, 1/2)
Complex numbers from the eigenvector and the eigenvalue. Example1 : Solve the following IVP. We first require the eigenvalues and eigenvectors for the given matrix.
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Two trains leave the same city at the same time, one going east and the other going west. If one train is traveling at 65 mph and the other at 72 mph, how many hours will it take f
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Determine the eigenvalues and eigenvectors of the subsequent matrix. Solution : The first thing that we require to do is determine the eigen-values. It means we require
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Above we have seen that (2x 2 - x + 3) and (3x 3 + x 2 - 2x - 5) are the factors of 6x 5 - x 4 + 4x 3 - 5x 2 - x - 15. In this case we are able to find one facto
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