SOLUTION: X:Y=7:9, X-12:Y-12=3:5 then Value of X & Y

Algebra ->  Matrices-and-determiminant -> SOLUTION: X:Y=7:9, X-12:Y-12=3:5 then Value of X & Y      Log On


   

Question 764681: X:Y=7:9, X-12:Y-12=3:5 then Value of X & Y
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Those are easier to deal with if rational statements like so:

x%2Fy=7%2F9
.
%28x-12%29%2F%28y-12%29=3%2F5

Multiply each equation by its own lowest common denominator to simplify:
9x=7y and 5(x-12)=3(y-12) giving 5x-60=3y-36 giving 5x-3y=-96

The system is then
9x-7y=0 and 5x-3y=-96
You could continue from here...