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Type: Multiple-Choice
Category: Systems of Equations
Level: Grade 10
Standards: HSA-REI.C.5
Author: nsharp1
Last Modified: 5 years ago

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Grade 10 Systems of Equations CCSS: HSA-REI.C.5

Which of the following are correct steps you could apply to the given system of equations (where

$e_1, e_2$ stand for equations 1 and 2), such that the resulting system of equations has the same answer and has eliminated one variable in one of the equations? There may be more than one correct answer.

$e_1: \ \ 2x+2y=6$

$e_2: \ \ 5x+3y=5$

Replace equation 2 with $e_2 - 6/5 e_1$ .
Replace equation 1 with $e_1 - 2/3e_2$ .
Replace equation 2 with $e_2 - 2/5e_1$ .
Replace equation 1 with $e_1 - 5/2e_2$ .