Back to Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions — Problem 3 · Task Set 27

8.EE.C.7.a Tutor Intake -- Classifying Linear Equations by Solution Type

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·~9 min·Common Core Math - Grade 8·standard·8-ee-c-7a

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Concepts

A student carefully solves $x + 6 = x + 2$ and correctly reaches
$6 = 2$ . They think they must have made a mistake because $6$
does not equal $2$ . What should they conclude instead?

No mistake was made — reaching a false statement like $6 = 2$ means the original equation has no solution.

They should keep re-solving until they get a true statement, since a correct solving process always ends in a true statement.

The answer is $x = 6 - 2 = 4$ .

The answer is $x = 2/6$ .