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3 years ago

What is X over 8 =9

Mathematics

1 answer:

Liula [17]3 years ago

4 0

Answer: x = 72

Step-by-step explanation: Although the problem is saying "X over 8", this really signifies that the x is being divided by 8 which is what a fraction is, numerator divided by a denominator.

Let's first undo what has been done. Since our variable is being divided by 8, we'll undo that by multiplying by 8 on both sides. It's important to remember, whatever you do on one side,

you must do to the other side.

If you look now, the 8 in the numerator and the 8 in the denominator will divide out and it will leave us with our variable which is x. Working on the other side now, 9 x 8 is equal to 72 so x = 72 is our answer.

We can check our answer by plugging a 72 back into the original equation. So we have 72/8 = 9 which is a true statement

so our answer is correct.

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Step-by-step explanation:

set

$f(x,y)=x+y\\$

constrain:

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Partial derivatives:

$f_{x}=1\\f_{y} =1 \\g_{x}=2x \\g_{y}=2y\\h_{x}=3x^2 \\h_{y}=3y^2$

Lagrange multiplier:

$grad(f)=a*grad(g)+b*grad(h)\\$

$\left[\begin{array}{ccc}1\\1\end{array}\right]=a\left[\begin{array}{ccc}2x\\2y\end{array}\right]+b\left[\begin{array}{ccc}3x^2\\3y^2\end{array}\right]$

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By solving:

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Solve for x^2+y^2 = 7, x^3+y^3=10 first:

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