Question

Como faço para resolver essa equação 3x+3/4=×+5/6

Answer 1

Explicação passo-a-passo:

$\\ 3x + \frac{3}{4} = x + \frac{5}{6} \\ \\ 2x + \frac{3}{4} = \frac{5}{6} \\ \\ 2x = \frac{5}{6} - \frac{3}{4} \\ \\ 2x = \frac{5 {}^{( \times 4)} }{6 {}^{( \times 4)} } - \frac{3 {}^{( \times 6)} }{4 {}^{( \times 6)} }$

$\\ 2x = \frac{20}{24} - \frac{18}{24} \\ \\ 2x = \frac{2 {}^{( \div 2)} }{24 {}^{( \div 2)} } \\ \\ \\ 2x = \frac{1}{12}$

$\\ x = \frac{ \frac{1}{12} }{2} \\ \\ x = \frac{1}{12} \times \frac{1}{2} \\ \\ x = \frac{1}{24}$

Verificação

$\\ 3 \times \frac{1}{24} + \frac{3}{4} = \frac{1}{24} + \frac{5}{6} \\ \\ \frac{3}{24} + \frac{3 {}^{( \times 6)} }{4 {}^{( \times 6)} } = \frac{1}{24} + \frac{5 {}^{( \times 4)} }{6 {}^{( \times 4)} } \\ \\ \frac{3}{24} + \frac{18}{24} = \frac{1}{24} + \frac{20}{24}$

$\\ \frac{21}{24} = \frac{21}{24}$

Answer 2

Resposta:

x=1/24

Explicação passo-a-passo:

$3x+\frac{3}{4}=x+\frac{5}{6} \\\\\frac{36x+9=12x+10}{12}\\36x-12x=+10-9\\24x=+1\\x=\frac{1}{24}$