Solve for x
x=-\frac{2y}{3}+239
Solve for y
y=\frac{717-3x}{2}
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6x+4y+3\times 2=1440
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
6x+4y+6=1440
Multiply 3 and 2 to get 6.
6x+6=1440-4y
Subtract 4y from both sides.
6x=1440-4y-6
Subtract 6 from both sides.
6x=1434-4y
Subtract 6 from 1440 to get 1434.
\frac{6x}{6}=\frac{1434-4y}{6}
Divide both sides by 6.
x=\frac{1434-4y}{6}
Dividing by 6 undoes the multiplication by 6.
x=-\frac{2y}{3}+239
Divide 1434-4y by 6.
6x+4y+3\times 2=1440
Multiply both sides of the equation by 12, the least common multiple of 2,3,4.
6x+4y+6=1440
Multiply 3 and 2 to get 6.
4y+6=1440-6x
Subtract 6x from both sides.
4y=1440-6x-6
Subtract 6 from both sides.
4y=1434-6x
Subtract 6 from 1440 to get 1434.
\frac{4y}{4}=\frac{1434-6x}{4}
Divide both sides by 4.
y=\frac{1434-6x}{4}
Dividing by 4 undoes the multiplication by 4.
y=\frac{717-3x}{2}
Divide 1434-6x by 4.
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