Question

10x+18y=-11

16x-3y=-5

Answer 1

Es un problema de ecuaciones lineales

10x + 18y = -11           ec. 1
16x  - 3y   = -5             ec. 2

Al multiplicar por 6 a la ec. 2 queda así:
96x -18y = -30              ec. 3

Al sumar la ec. 1 con la ec. 3:

10x +18y = -11
96x -18y = -30

=106x + 0 = -41
106x = -41
x = -41/106
x = - 0.3868

De la ec. 1:
10x + 18y = -11
10*(-0.3868) + 18y = -11
-3.868 + 18y = -11
18y = -11+3.868
18y = -7.132
y = -7.132/18
y = -0.3962

Por tanto:
x = - 0.3868
y = - 0.3962


Saludos...

Answer 2

MÉTODO DE REDUCCIÓN.

1) 10x + 18y = - 11  (3)
2) 16x - 3y = - 5      (18)

30x + 54y = - 33
288x - 54y = - 90
--------------------------
318x + 0y = - 123

318x = - 123

x = - 123/318

x = - 41/106

El valor de x lo reemplazo en ecuación 1

10x + 18y = - 11

10 (- 41/106) + 18y = - 11

- 410/106 + 18y = - 11

18y = - 11 + 410/106

18y = (- 11 * 106 + 410)/106

18y = (- 1166 + 410)/106

18y = - 756/106

y = - 756/106/18/1

y = - 756/1908

y = - 21/53

Solución : 

x = - 41/106
y = - 21/53