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x +y = 45
2x -3y = 8
Multiplicamos la 1era ecuación por -2
x +y = 45 (-2)
-2x -2y = -90
Reducimos:
-2x -2y = -90
2x -3y = 8
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// -5y = -82
y = -82/5
y = 82/5
Remplazamos "y" en la 1era ecuación:
x +y = 45
x +82/5 = 45
x = 45 - 82/5
x = (225-82)/5
x = 143/5
Respuesta:
y = 82/5
x = 143/5