Question

Solución de sistemas 2x2
5a -b=7
6a+5b=58

Answer 1

Respuesta:

$5a - b = 7 \\ 5a = 7 + b \\ a = \frac{7 + b}{5} \\ 6a + 5b = 58 \\ 6a = 58 - 5b \\ a = \frac{58 - 5b}{6} \\ \frac{7 + b}{5} = \frac{58 - 5b}{6} \\ 42 + 6b = 290 - 25b \\ - 290 + 42 = - 25b - 6b \\ - 248 = - 31b \\ 31b = 248 \\ b = \frac{248}{31} = 8$

Explicación paso a paso:

$a = \frac{7 + b}{5} = \frac{7 + 8}{5} = \frac{15}{5} = 3$

$5a - b = 7 \\ 5 \times 3 - 8 = 15 - 8 = 7$