anonymous
  • anonymous
1. When solving systems of equations, how do you determine what method to use? 2. solve the system and show your steps 2y = x + 1 –2x – y = 7
Mathematics
chestercat
  • chestercat
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abb0t
  • abb0t
You can use elimination or substitution.
abb0t
  • abb0t
For substitution, you can divide the first equation by 2 get your Y and substitute it.
abb0t
  • abb0t
\[y = \frac{ x }{ 2 } + \frac{ 1 }{ 2 }\] now you have a y, that you can use to plug in for y for the 2nd equation.

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abb0t
  • abb0t
For elimination, you do the same method, except you are elimiating ONE variable to get just ONE, like for instance, eliminate y and get only x's. but you must have it in the form: 1. (x) + (y) = number 2. (x) - (y) = number notice how you can eliminate Y if you add both together to get: 2x = number then divide by 2 to get x. Then plug it back in and solve for Y! :)
abb0t
  • abb0t
You can also use gauss elimination and put it into a matrix |dw:1355851242837:dw|

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