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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

Consider the system:
$E_1: 2x + y = 7$
$E_2: x - y = 2$

A student applies the theorem with $k = 1$ : they replace $E_1$ with
$E_1 + 1 \cdot E_2$ .

What is the new equation replacing $E_1$ ?

$3x + 2y = 9$

$3x = 9$

$x + 2y = 5$

$2x^2 - y^2 = 5$