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Mai Solved the Equation Below Incorrectly. Identify Mai's Error and Then Solve the Equation Correctly.

Question

Mai solved the equation below incorrectly. Identify Mai's error and then solve the equation correctly. (1)/(3)((1)/(2)x-9)=(1)/(2)(x+18) (1)/(6)x-3=(1)/(2)x+9 (1)/(4)x-3=9 (1)/(4)x=12 x=48

Solution

Verificación de expertos
4 (77 Votos)
Bento Veterano · Tutor por 10 anos

Resposta

Mai's error occurred in the second step. She incorrectly simplified the equation to . The correct simplification should be .Let's solve the equation correctly: Multiply both sides by 6 to eliminate the fractions: Simplify: Combine like terms: Divide both sides by -2: Therefore, the correct solution to the equation is .