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8090 [49]
3 years ago
11

What is the value of x 2x+3y=45 x+y=10

Mathematics
1 answer:
Volgvan3 years ago
4 0
Assuming this is a system of equations, here is how to find x. 

2x + 3y = 45
x + y = 10 

Multiply x + y = 10 by 2 so you are able to use the elimination method.

2x + 3y = 45
2x + 2y = 20

Subtract.

y = 25

Now that we've found y, we can plug it in to find x. 

x + 25 = 10

Subtract 25 from both sides.

x = -15
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<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

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Let a be base side and h be the height.

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                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

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                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

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Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

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