Back to Understand that solutions to a system of two linear equations correspond to points of intersection of their graphs — Problem 1 · Task Set 33

8.EE.C.8.a Tutor Intake -- Systems of Equations, Graphical Interpretation

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·8 problems·~8 min·Common Core Math - Grade 8·standard·8-ee-c-8a

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Concepts

What does it mean for an ordered pair $(x, y)$ to be "the
solution" to a system of two linear equations?

It is a single ordered pair that makes BOTH equations true at the same time.

It is two separate answers — one $x$ -value from the first equation and one $y$ -value from the second.

It is any point that makes at least one of the two equations true.

It is the point where either line crosses the x-axis.