Question

2. Encuentra el valor de la incógnita
W-5 / -2 = 3w + 6 /4

Answer 1

Respuesta:

$\frac{w - 5}{ - 2} = 3w + \frac{6}{4} \\ - \frac{w}{2} + \frac{5}{2} = 3w + \frac{6}{4} \\ - \frac{ w}{2} - 3w = \frac{6}{4} - \frac{5}{2} \\ - \frac{w}{2} - \frac{6}{2} w = \frac{6}{4} - \frac{10}{4} \\ - \frac{7}{2} w = - \frac{4}{4} \\ - \frac{7}{2} w = - 1 \\ w = \frac{ - 1}{ - \frac{7}{2} } \\ w = \frac{2( -1 )}{ - 7} \\ w = \frac{ - 2}{ - 7} \\ w = \frac{2}{7}$

comprobamos

$\frac{w - 5}{ - 2} = 3w + \frac{6}{4} \\ \frac{ \frac{2}{7} - 5}{ - 2} = 3( \frac{2}{7} ) - \frac{6}{4} \\ \frac{ \frac{2}{7} - \frac{35}{7} }{ - 2} = \frac{6}{7} + \frac{6}{4} \\ \frac{ - \frac{33}{7} }{ - 2} = \frac{6(4) + 6(7)}{28} \\ \frac{33}{14} = \frac{24 + 42}{28} \\ \frac{33}{14} = \frac{66}{28} \\ \frac{33}{14} = \frac{33}{14}$