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635\times 100=63x+65y
Multiply both sides by 100.
63500=63x+65y
Multiply 635 and 100 to get 63500.
63x+65y=63500
Swap sides so that all variable terms are on the left hand side.
63x=63500-65y
Subtract 65y from both sides.
\frac{63x}{63}=\frac{63500-65y}{63}
Divide both sides by 63.
x=\frac{63500-65y}{63}
Dividing by 63 undoes the multiplication by 63.
635\times 100=63x+65y
Multiply both sides by 100.
63500=63x+65y
Multiply 635 and 100 to get 63500.
63x+65y=63500
Swap sides so that all variable terms are on the left hand side.
65y=63500-63x
Subtract 63x from both sides.
\frac{65y}{65}=\frac{63500-63x}{65}
Divide both sides by 65.
y=\frac{63500-63x}{65}
Dividing by 65 undoes the multiplication by 65.
y=-\frac{63x}{65}+\frac{12700}{13}
Divide 63500-63x by 65.