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Mathematics
Mathematics
Problem
Determine the nature of solutions of the system
1
3
x
+
1
2
y
=
2
\displaystyle \frac{1}{3}x + \frac{1}{2}y = 2
3
1
x
+
2
1
y
=
2
and
2
x
+
3
y
=
12
2x + 3y = 12
2
x
+
3
y
=
12
. a)
Exactly one solution
\text{Exactly one solution}
Exactly one solution
b)
No solution
\text{No solution}
No solution
c)
Infinitely many solutions
\text{Infinitely many solutions}
Infinitely many solutions
d)
Cannot be classified without graphing
\text{Cannot be classified without graphing}
Cannot be classified without graphing
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