Question

Hallar el valor de X
2(X-1)+y=5
X+3y=11

Answer 1

2(X - 1) + Y = 5 (Ecuacion 1)

X + 3Y = 11 (Ecuacion 2)

Ecuacion 1: 2(X - 1) + Y = 5

2X - 2 + Y = 5:

Y = 5 - 2X + 2; Y = 7 - 2X

X + 3Y = 11

3Y = 11 - X (Divido entre 3)

Y = 11/3 - X/3

Y = Y:

Y = 7 - 2X; Y = 11/3 - X/3

7 - 2X = 11/3 - X/3

7 - 11/3 = 2X - X/3

21/3 - 11/3 = 6X/3 - X/3

10/3 = 5X/3 (Cancelo el 3 que divide en ambos lados)

10 = 5X

5X = 10

X = 10/5

X = 2

Reemplazo el valor de X = 2

Y = 7 - 2X

Y = 7 - 2(2)

Y = 7 - 4

Y = 3

Rta: X = 2; Y = 3