Question

cuanto es 4x + 5y =7 10x + 3y =8 modo igualación

Answer 1

Explicación paso a paso:

$4x + 5y = 7 \\ 10x + 3y = 8 \\ 4x = 7 - 5y \\ x = \frac{7 - 5y}{4} \\ 10x = 8 - 3y \\ x = \frac{8 - 3y}{10} \\ \frac{7 - 5y}{4} = \frac{8 - 3y}{10} \\ 10(7 - 5y) = 4(8 - 3y) \\ 70 - 50y = 32 - 12y \\ 70 - 32 = 12y + 50y \\ 38 = 62y \\ y = \frac{62}{38} = \frac{31}{19} \\ x = \frac{7 - 5( \frac{31}{19} )}{4} \\ x = \frac{7 - \frac{135}{9} }{4} \\ x = \frac{ \frac{63 - 135}{9} }{4} \\ x = \frac{ \frac{ - 72}{9} }{4} \\ x = \frac{ - 72}{36} = \frac{ - 36}{18} = - 2$