Question

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Mateo completed the following steps to solve the equation -2 + z = 10.

-2 + z = 10

-2 + z − 2 = 10 − 2

z = 8

Explain why Mateo's solution is incorrect. Then show how to correctly solve the equation.

Answer 1

if z = 8

then

-2 + (-8) = - 10

not 10

-2 + z = 10

-2 + 2 + z = 10 + 2

z = 12

check

-2 + (+12) = +10