Question

2x+7y=6
4x+3y=14
Por sustitución

Answer 1

Explicación paso a paso:

$2x + 7y = 6 \\ 2x = 6 - 7y \\ x = \frac{6 - 7y}{2} \\ 4x + 3y = 14 \\ 4 \times \frac{6 - 7y}{2} + 3y = 14 \\ \frac{24 - 28y}{2} + \frac{6y}{2} = 14 \\ \frac{24 - 28y + 6y}{2} = 14 \\ \frac{24 - 22y}{2} = 14 \\ 24 - 22y = 28 \\ - 22y = 28 - 24 \\ - 22y = 4 \\ 22y = - 4 \\ y = \frac{ - 4}{22} = \frac{ - 2}{11}$

$2x + 7y = 6 \\ 2x + 7 \times \frac{ - 2}{11} = 6 \\ 2x + \frac{ - 14}{11} = 6 \\ 2x = 6 - \frac{ - 14}{11 } \\ 2x = \frac{66}{11} - \frac{ - 14}{11} \\ 2x = \frac{80}{11} \\ x = \frac{ \frac{80}{11} }{2} = \frac{80}{11} \times \frac{1}{2} = \frac{80}{22} = \frac{40}{11}$

$2x + 7y = 6 \\ 2 \times \frac{40}{11} + 7 \times \frac{ - 2}{11} = \frac{80}{11} + \frac{ - 14}{11} = \frac{66}{11} = 6$

$4x + 3y = 14$