Question

La solución al siguiente sistema de ecuaciones 5x + 5y = 50 9x + 14y = 97 es

Answer 1

Respuesta:

Y= 3

Explicación paso a paso:

1) 5x+7y = 50....| ===> x = (50-7y)/5  

2) 9x+14y = 97..| ===> x = (97-14y)/9  

_____________|  

(50-7y)/5 = (97-14y)/9  

9(50-7y) = 5(97-14y)  

450-63y = 485-70y  

-63y+70y = 485-450  

7y = 35....../:7  

Y= 5  

1) x = (50-7y)/5  

x = (50-7[5])/5  

x = (50-35)/5  

x = 15/5  

X= 3  

======================================...  

Igualación en función de Y:  

1) 3x+4y = 18..| ===> y = (18-3x)/4  

2) 2x-5y = -11..| ===> y = (-11-2x)/-5 ===> y = (11+2x)/5  

____________|  

(18-3x)/4 = (11+2x)/5  

5(18-3x) = 4(11+2x)  

90-15x = 44+8x  

-15x-8x = 44-90  

-23x = -46...../: -23  

X= 2  

2) y = (11+2x)/5  

y = (11+2[2])/5  

y = (11+4)/5  

y = 15/5