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

 Jun 9, 2024

Best Answer 

 #1
avatar+1250 
+1

Alright. Let's first isolate y. We have \(y=25-x\)

 

Subbing this into the second equation, we get \(3x + 75\)

 

Well, the minimum value where x is not negative is when x is 0. 

 

When x is 0, we get \(3(0)+75=75\)

 

So 75 is our answer!

 

Thanks! :)

 Jun 10, 2024
 #1
avatar+1250 
+1
Best Answer

Alright. Let's first isolate y. We have \(y=25-x\)

 

Subbing this into the second equation, we get \(3x + 75\)

 

Well, the minimum value where x is not negative is when x is 0. 

 

When x is 0, we get \(3(0)+75=75\)

 

So 75 is our answer!

 

Thanks! :)

NotThatSmart Jun 10, 2024

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