math project

math project

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  • Do you know how to solve systems of equations by substitution?
  • Yes what you do is you have two equations and you see which one has a variable and plug it in the the other equation you are using. 
  • Do you have any examples of it? 
  • Yes, an example is y=-3x+6 and -x=2 
  • Now we have to do the first step of trying to solve it. 
  • The first step is to replace one variable in the other equation so there is only X or Y.  So y=-3x+6 and -x-2 would be -3x+6-x=2
  • So that means that the second step is to solve for the variable, right? 
  • Correct! So -3x+6-x=2  2x+6=2 -6=-6 2x=-4 2x/2=-4/2 x=-2
  • Can you help me figure out the final step for solving systems by using substitution. 
  • Sure, you ask yourself how you use it to find y. And that would look something like this y=-3(-2)+6 y=6+6 y=12 
  • Now all we have to do now is put the solutions into an equation. 
  • Yes and the equation would be (-2, 12) 
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