anonymous
  • anonymous
SOME! PLEASE HELP ME!!! I NEED HELP ASAP!! WILL GIVE MEDAL AND FAN! Part 1: Decide whether you would use the graphing, substitution, or elimination method to solve the following system of equations. Explain, in complete sentences, why you chose that method. Part 2: Solve the following system of equations and show all of your work. 5x + 3y = 8 y = −2x + 1
Mathematics
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chestercat
  • chestercat
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anonymous
  • anonymous
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anonymous
  • anonymous
Substitution: It would be used because one equation is given as "y" alone with no coefficient so it would be easily substituted in the other equation. Elimination: It would be used because "y" can be canceled out by multiplying the second equation by -3 and ordering the first equation correspondingly with the second and then u would find x and substitute its value in one of the equations. Solution: y= - 2x + 1 --> -3y = + 6x - 3 5x+3y = 8 --> 3y = - 5x +8 Answer: (make a line) : 0 = x + 5 --> (x= - 5) and (y =11) I'm a hundred % sure of this. I even substituted my results in the calculator and they were equal ;D As simple as that!
DebbieG
  • DebbieG
But the bottom equation already has y isolated... no need to multiply any equation by anything, just sub that expression for y back into the first equation. That would be my preferred method, but it is largely a matter of preference, either will work. :)

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DebbieG
  • DebbieG
Sorry @kathy0514 I misread your answer.... thought you were saying that elimination should be used over the other 2... lol. Good explanation of the different methods!

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