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Resolva a equação (3t)/(4) − 1 = 5

Mathematics

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Answer

t=8t=8

Step-by-step solution

3 steps

A equação a ser resolvida é:

3t4−1=5\frac{3t}{4} - 1 = 5
  1. Adicionar 1 a ambos os lados da equação para isolar o termo com tt.

    3t4−1+1=5+1\frac{3t}{4} - 1 + 1 = 5 + 1 3t4=6\frac{3t}{4} = 6
  2. Multiplicar ambos os lados da equação por 4 para eliminar o denominador.

    4×3t4=4×64 \times \frac{3t}{4} = 4 \times 6 3t=243t = 24
  3. Dividir ambos os lados da equação por 3 para resolver para tt.

    3t3=243\frac{3t}{3} = \frac{24}{3} t=8t = 8

    A solução da equação é t=8t=8.

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