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There are other methods to solve a system of equations besides graphing?

 Feb 23, 2021
 #1
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Yes....substitution and  elimination are two other methods...... or post on Web2.0 haha

 Feb 23, 2021
 #2
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1. Graphing: graph the system of equations and find the intersection points, which are the solutions.

 

2. Elimination. As an example:

 

x + 2y = 3            . (1)

3x + y = 4            . (2)

 

You can eliminate one variable by multiplying equation (2) by 2:

 

x + 2y = 3

6x + 2y = 8

-----------------

-5x = -5

 

By subtracting the equations, we have eliminated one variable, thus solving for the other.

 

3. Substitution. Let's use the same equations as last time. In equation (1), solve for x in terms of y:

 

x + 2y = 3            ----->        x = 3 - 2y

 

Plug this in the other equation:

3x + y = 4

3(3 - 2y) + y = 4

 

Thus, we can solve for y, and in turn, solve for x.

 Feb 23, 2021
edited by CubeyThePenguin  Feb 23, 2021
 #3
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Or use Wolfram|Alpha

 Feb 23, 2021

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