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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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What is the disadvantage of using the substitution method in solving linear equations rather than the graph method?
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.
How can you solve a system of equations?
The answer depends on whether they are linear, non-linear, differential or other types of equations.
How do you solve systems of equations by using elimination?
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
The ELIMINATION method performs operations on a system of equations to?
Simultaneous equations can be solved using the elimination method.
How do you solve systems of equations using linear combination?
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.
