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Combine equations to get single feedback equation

Posted 1 year ago

If I have the two equations y=ax and x=u-y where y is the output and u is the input, how can I get Mathematica to combine these two equations to get the single equation, y = (a/(1+a))u?
Thanks.

POSTED BY: Roger Backhus
5 Replies
Posted 1 year ago
POSTED BY: Roger Backhus
Posted 1 year ago
POSTED BY: Bill Nelson
Posted 1 year ago

Ok. That worked. Thanks.

POSTED BY: Roger Backhus
Posted 1 year ago

Thank you.

POSTED BY: Roger Backhus
Posted 1 year ago
Solve[Eliminate[{y==a x,x==u-y},x],y]

{{y -> (a*u)/(1 + a)}}
POSTED BY: Bill Nelson
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