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

Concepts

A student solves the system and finds the solution candidate $(2, -1)$ .
They check: $3(2) + 2(-1) = 4$ ✓ (satisfies the first equation).
They do not check the second equation.

Why is the student's check insufficient?

Checking in the first equation is sufficient — a solution to any one
equation is a solution to the system.

A system requires satisfying ALL equations simultaneously. The student
must verify $(2, -1)$ in both equations to confirm it is a solution.

The check is insufficient because the student should substitute into
the modified equation from elimination, not the original.

Graphical verification is required; algebraic checking is not accepted.