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Verified answer

3х-у-6=0
x^2+4xy-2y^2+29=0

3x-6=y

x^2+4x(3x-6)-2(3x-6)^2+29=0
x^2+12x^2-24x-18x^2+72x-72+29=0
-5x^2+48x-43=0
5x^2-48x+43=0

d=48*48-4*5*43=1444=38^2
x1=(48-38)/10=1
x2=(48+38)/10=8.6

y1=3*1-6
y1=-3

y2=3*8.6-6
y2=19.8