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Let $x$ and $y$ be nonnegative real numbers. If $x + y = 25$, then find the minimum value of $6x + 3y.$

 Jul 14, 2024
 #1
avatar+129895 
-1

https://web2.0calc.com/questions/algebra_14389

 

cool cool cool

 Jul 15, 2024
 #2
avatar+1926 
+1

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! :)

 Jul 15, 2024

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