Write three solutions for the equation 17x+5y=2
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Answer:
Thegivenequationsare
3x−5y+2=0−−−−(1)
6x+4=10y−−−−(2)
Equation(1)canbewrittenas
y=
5
3
x+
5
2
−−−−(3)
andequation(2)canbewrittenas
y=
10
6
x+
10
4
=
5
3
x+
5
2
−−−−(4)
Clearlyfrom(3)and(4)theslopesareequal
andeach=
5
3
.Sothelinesnevermeet.
∴Theyhaveinfinitesolutions.(Ans)
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