\{ 30 ( 3 x + 2 y ) = 40.5
Solve for x
x=-\frac{2y}{3}+0.45
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3x+2y=\frac{40.5}{30}
Divide both sides by 30.
3x+2y=\frac{405}{300}
Expand \frac{40.5}{30} by multiplying both numerator and the denominator by 10.
3x+2y=\frac{27}{20}
Reduce the fraction \frac{405}{300} to lowest terms by extracting and canceling out 15.
3x=\frac{27}{20}-2y
Subtract 2y from both sides.
\frac{3x}{3}=\frac{\frac{27}{20}-2y}{3}
Divide both sides by 3.
x=\frac{\frac{27}{20}-2y}{3}
Dividing by 3 undoes the multiplication by 3.
x=-\frac{2y}{3}+\frac{9}{20}
Divide \frac{27}{20}-2y by 3.
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