Question

despejar ecuaciones ​

Answer 1

Explicación paso a paso:

$1. - x + y = 4 \\ x = \frac{4 - y}{ - 1} = - 4 + y = y - 4 \\ y = 4 + x = x + 4 \\ \\ 2. - 2x + 6y = 12 \\ x = \frac{12 - 6y}{ - 2} = - 6 + 3y = 3y - 6 \\y = \frac{12 + 2x}{6} = 2 + \frac{1}{3} x = \frac{1}{3}x + 2 \\ \\ 3. - 5x + y = 24 \\ x = \frac{24 - y}{ - 5} = - \frac{24}{5} + \frac{y}{5} = \frac{y}{5} - \frac{24}{5} x \\ y = 24 + 5x = 5x + 24\\ \\ 4. - 3x - 4y = 5 \\ x = \frac{5 + 4y}{ - 3} = - \frac{5}{3} - \frac{4}{3} y = - \frac{4}{3} y - \frac{5}{3} \\ y = \frac{5 + 3x}{ - 4} = - \frac{5}{4} - \frac{3}{4} x = - \frac{ 3}{4} x - \frac{5}{4} \\ \\ 5. \: 6x + 3y = 42 \\ x = \frac{42 - 3y}{6} = 7 - \frac{1}{2} y = - \frac{1}{2} y + 7 \\ y = \frac{42 - 6x}{3} = 14 - 2x = - 2x + 14 \\ \\ 6. - 9x - 12y = 14 \\ x = \frac{14 + 12y}{ - 9} = - \frac{14}{9} - \frac{12}{9} y = - \frac{4}{3} y - \frac{14}{9} \\ y = \frac{14 + 9x}{ - 12} = - \frac{7}{6} - \frac{3}{4} x = - \frac{3}{4} y - \frac{7}{6} \\ \\ 7. \: 30x + 6y = - 58 \\ x = \frac{ - 58 - 6y}{30} = - \frac{58}{30} - \frac{6}{30} y = - \frac{1}{5} y - \frac{29}{15} \\ y = \frac{ - 58 - 30x}{6} = - \frac{29}{3} - 5x = - 5x - \frac{29}{3}$