Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$
To solve this problem, let's first put y in terms of x.
From the first equation, we have \(y=25-x\)
Subsituting this value of y into the expression we are trying to compute, we get
\(3x+75\)
Since x cannot be negative, the smallest possibvle x number is 0.
When x is 0, we have \(3(0)+75=75\)
So 75 is our final answer.
Thanks! :)