Back to Solve systems of linear equations — Problem 2 · Task Set 41

HSA.REI.C.6 Tutor Intake — Systems of Linear Equations

This short check helps your tutor understand where to start. Answer each question without help. If you are not sure, give your best try — the goal is to find what to work on together, not to grade you.

Grade 9·8 problems·~13 min·Common Core Math - HS Algebra·standard·hsa-rei-c-6

Work through problems with immediate feedback

Procedures

Solve the system using elimination:
$2x + 3y = 12$
$2x - y = 4$

Subtract the second equation from the first to eliminate $x$ :
$(2x + 3y) - (2x - y) = 12 - 4 \Rightarrow 4y = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $\Rightarrow y = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲

Then $2x - ($ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ $) = 4 \Rightarrow x = $ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲

rhs:

y-value:

y-sub:

x-value: