SOLUTION: Answers should be written in sentence form. Explanations must be detailed and well-thought out. Include examples wherever possible. 4. Alyssa multiplies both equations in a linear

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Answers should be written in sentence form. Explanations must be detailed and well-thought out. Include examples wherever possible. 4. Alyssa multiplies both equations in a linear      Log On


   

Question 184211: Answers should be written in sentence form. Explanations must be detailed and well-thought out. Include examples wherever possible.
4. Alyssa multiplies both equations in a linear system by 10 to eliminate the decimal. She determines that x=3 and y=2. She then divides her results by 10 to get a solution of (0.3, 0.2). Is her reasoning correct? Explain.
Please and thank you very much!!!!
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
She is NOT correct to divide her answer by 10.

When she multiplied both sides of the equation by the same number, this retains an EQUIVALENT equation. This is an equation that has the SAME solution as the original equation. So the solution that she gets for the new equation is actually the SAME solution as the solution for the original equation. She should NOT divide the answers by 10!!

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