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3\times 3x-4y=60
Multiply both sides of the equation by 12, the least common multiple of 4,3.
9x-4y=60
Multiply 3 and 3 to get 9.
9x=60+4y
Add 4y to both sides.
9x=4y+60
The equation is in standard form.
\frac{9x}{9}=\frac{4y+60}{9}
Divide both sides by 9.
x=\frac{4y+60}{9}
Dividing by 9 undoes the multiplication by 9.
x=\frac{4y}{9}+\frac{20}{3}
Divide 60+4y by 9.
3\times 3x-4y=60
Multiply both sides of the equation by 12, the least common multiple of 4,3.
9x-4y=60
Multiply 3 and 3 to get 9.
-4y=60-9x
Subtract 9x from both sides.
\frac{-4y}{-4}=\frac{60-9x}{-4}
Divide both sides by -4.
y=\frac{60-9x}{-4}
Dividing by -4 undoes the multiplication by -4.
y=\frac{9x}{4}-15
Divide 60-9x by -4.