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x+3y=7
2x+5y=12
despejamos x de ambas ecuaciones
x+3y=7
x=7-3y
2x+5y=12
2x=(12-5y)
x=(12-5y)/2
ahora igualamos
x=x
7-3y=(12-5y)/2
2(7-3y)=12-5y
14-6y=12-5y
-6y+5y=12-14
-y=-2
y=2
ahora solo remplazamos
x=7-3y
x=7-3(2)
x=7-6
x=1
solucion
x=1
y=2
saludos