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5x+19y=60
Swap sides so that all variable terms are on the left hand side.
5x=60-19y
Subtract 19y from both sides.
\frac{5x}{5}=\frac{60-19y}{5}
Divide both sides by 5.
x=\frac{60-19y}{5}
Dividing by 5 undoes the multiplication by 5.
x=-\frac{19y}{5}+12
Divide 60-19y by 5.
5x+19y=60
Swap sides so that all variable terms are on the left hand side.
19y=60-5x
Subtract 5x from both sides.
\frac{19y}{19}=\frac{60-5x}{19}
Divide both sides by 19.
y=\frac{60-5x}{19}
Dividing by 19 undoes the multiplication by 19.