You multiply one or both equations by some constant (especially chosen for the next step), and add the two resulting equations together. Here is an example:
(1) 5x + 2y = 7
(2) 2x + y = 3
Multiply equation (2) by -2; this factor was chosen to eliminate "y" from the resulting equations:
(1) 5x + 2y = 7
(2) -2x -2y = -6
Add the two equations together:
3x = 1
Solve this for "x", then replace the result in any of the two original equations to solve for "y".
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There are no disadvantages. There are three main ways to solve linear equations which are: substitution, graphing, and elimination. The method that is most appropriate can be found by looking at the equation.
The answer depends on whether they are linear, non-linear, differential or other types of equations.
Multiply every term in both equations by any number that is not 0 or 1, and has not been posted in our discussion already. Then solve the new system you have created using elimination or substitution method:6x + 9y = -310x - 6y = 58
Simultaneous equations can be solved using the elimination method.
You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.You select the linear combination of the equations in such a way that at each stage you eliminate one variable.