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2 years ago

Solve the system: 2x+6y=36 x+4y=20

Mathematics

1 answer:

Assoli18 [71]2 years ago

5 0

Let's solve this problem step-by-step

Let's set:

2x + 6y = 36 -- equation 1

x + 4y = 20 -- equation 2

(equation 2) * 2

2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

2y = 4

y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

x + 4(2) = 20

x = 20 - 8

x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

$2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20$

Answer: x = 12 and y = 2

Hope that helps!

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3 years ago

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3 years ago

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weeeeeb [17]

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Step-by-step explanation:

If we take the derivative of h whit respect to t and equal this to zero we would find the value of t which corresponds to the maximum h.

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Taking the derivative, we have:

$\frac{dh(t)}{dt}=-32t + 45=0$

Now, we solve it for t:

$t=\frac{45}{32}=1.4\: s$

Finally, we put this value of t into the original equation.

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Therefore, the maximum height is 46.64 feet. All the given options are wrong, the one that comes closest is option A.

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