Question

9x + 8y = 12; 24x - 60y = -29 por el metodo de igualacion

Answer 1

Respuesta:

X = 2/3

Y = 3/4

Explicación paso a paso:

despejamos x en ambas ECUACIONES

9 x +8y = 12

9x = 12 - 8y

x = (12-8y)/9

24x -60y = -29

24 x = -29 + 60y

x = (-29 + 60y)/24

igualamos y despejamos y

(12 -8y)/9 = (-29 + 60y)/24

(12 - 8y) . 24 = (-29 + 60y) . 9

288 - 192 y = -261 + 540y

288 + 261 = 540y + 192y

549 = 732 y

y = 549/732

y = 0,75 = 3/4

reemplazo en una ecuación para sacar x

x = (12 - 8y)/9

x = (12 - 8 . 3/4 ) /9

x = (12 - 6)/9

x = 6/9. = 2/3

VERIFICO

9 x +8y = 12

9x + 8y -12 =

24x -60y = -29.

24x - 60y + 29 = 9x +8y- 12

24 . 2/3. - 60 . 3/4 + 29 = 9 . 2/3 + 8 . 3/4 - 12

16 - 45 + 29 = 6 + 6 - 12

0 = 0

VERIFICADO