Question

Calcule o valor real de x em:
X-1/5= X-5/3
X+3/6= 5X/4
X-2/4= X-1/2

Answer 1

Calcule o valor real de x em:

$a) \: \frac{x - 1}{5} = \frac{x - 5}{3} \\ \\ 3(x - 1) = 5( x -5 ) \\ 3x - 3 = 5x - 25 \\ 3x - 5x = - 25 + 3 \\ - 2x = - 22 \: \color{red} {\cdot ( - 1)} \\ 2x = 22 \\ x = \frac{22}{2} \\ \boxed{ \bf{x = 11} }$

$b) \: \frac{x + 3}{6} = \frac{5x}{4} \\ \\ 4(x + 3) = 6\cdot 5x \\ 4x + 12 = 30x \\ 4x - 30x = - 12 \\ - 26x = - 12 \: \color{red}{ \cdot ( - 1)} \\ 26x = 12 \\ x = \frac{ {12}^{ \color{red}{ \div 2} } }{ {26}^{ \color{red}{ \div 2} } } \\ \\ \boxed{ \bf{x = \frac{6}{13} } }$

$c) \: \frac{x - 2}{4} = \frac{x - 1}{2} \\ \\ 2(x - 2) = 4(x - 1) \\ 2x - 4 = 4x - 4 \\ 2x - 4x = - 4 +4 \\ - 2x = 0 \\ x = - \frac{0}{2} \\ \boxed{ \bf{x = 0} }$

Espero ter ajudado! :)