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1) 3x + y = 22
2) 4x - 3y = - 1
Despejo y en 1.
3x + y = 22
y = 22 - 3x
Sustituyo y en 2.
4x - 3y = - 1
4x - 3 (22 - 3x) = - 1
4x - 66 + 9x = - 1
4x + 9x = - 1 + 66
13x = 65
x = 65/13
x = 5
Sustituyo el valor de x en el despeje de y.
y = 22 - 3x
y = 22 - 3 (5)
y = 22 - 15
y = 7
Solución :
x = 5
y = 7