Question

Sustitusion de
6r-5t=-11
7t-8r=15

Answer 1

Respuesta:

r = -1 y t = 1

Explicación paso a paso:

Resolvemos:

6r-5t=-11 --- Ecuación 1

7t-8r=15 --- Ecuación 2

Despejamos t de la ecuación 1:

6r-5t=-11

6r + 11 = 5t

(6r + 11)/5 = t

Remplazamos t en la ecuación 2:

7((6r + 11)/5)-8r=15

Resolvemos la ecuación:

((42r + 77)/5 - 8r = 15 ) x 5

42r + 77 - 40r = 75

2r = -2

r = -1

Hallamos t:

(6r + 11)/5 = t

(6 (-1) + 11)/5 = t

(-6 + 11)/5 = t

(5)/5 = t

1 = t

Comprobamos:

6r-5t=-11

6 (-1) - 5 (1) = -11

-6 - 5 = -11

7t-8r=15

7 (1) - 8 (-1) =15

7 + 8 = 15.