Back to Prove system equivalence — Problem 2 · Task Set 39

HSA.REI.C.5 Tutor Intake — Proving System Equivalence

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Grade 9·7 problems·~11 min·Common Core Math - HS Algebra·standard·hsa-rei-c-5

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Procedures

Which of the following is a LEGAL operation on a system of equations under
the REI.C.5 theorem?

Replace $E_1$ with $E_1 + 5$ (adding the constant 5 to $E_1$ , not a
multiple of another equation).

Replace $E_1$ with $E_1 + 3 E_2$ .

Replace $E_1$ with $E_1 \cdot E_2$ (multiplying the two equations).

Replace $E_1$ with $E_1 / x$ (dividing $E_1$ by the variable $x$ ).