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1) x + 7y = 8
2) 3x + 4y = 5
Despejo x en 1.
x + 7y = 8
x = 8 - 7y
Sustituyo x en 2.
3x + 4y = 5
3 (8 - 7y) + 4y = 5
24 - 21y + 4y = 5
24 - 17y = 5
- 17y = 5 - 24
- 17y = - 19
y = -19/-17
y = 19/17
Sustituyo el valor de y en el despeje de x.
x = 8 - 7y
x = 8 - 7 (19/17)
x = 8 - 133/17
x = (8 * 17 - 133)/17
x = (136 - 133)/17
x = 3/17
Solución :
x = 3/17
y = 19/17