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TiliK225 [7]
2 years ago
11

I need help in learning how to solve this equation using substitution:

Mathematics
1 answer:
Tomtit [17]2 years ago
4 0

Answer:

x=3, z=-1, y=6

Step-by-step explanation:

you need to make the coefficients of each variable equal to each other then subtract 2 equations.

this one: multiply -4 in 1st

4x+4y+4z=32

-4x+4y+5z=7

_____________

8x+0-z=25

we have 2 equations with 2 variables now

2x+2z=4

8x-z=25

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C: 2x^5

Step-by-step explanation:

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3 years ago
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Officials begin to release water from a full man-made lake at a rate that would empty the lake in 10 weeks, but a river that can
Romashka [77]

Answer:

It takes 20 weeks to empty the lake

Step-by-step explanation:

Some rate, let's call it R_{empty} empties the lake in 10 weeks and a river (with rate R_{river} can fill the lake in 20 weeks. The idea behind the solution of this type of problem is always set the rate to the same units. Let's see this:

R_{empty}=\frac{1\ lake}{10\ weeks} which implies that this rate empties 0.1 of the lake per week, thus, R_{empty}=0.1/week.

Using the same idea, we can obtain that the filling rate of the river is:

R_{river}=\frac{1\ lake}{20\ weeks} = 0.05 /week

Since both rates are acting at the same time, the total rate of flowing water (either in or out the lake) would be given by:

R_{total}=R_{empty}+R_{river}\\R_{total}= -0.1 + 0.05=-0.05/week, which means that the lake is being empty at a rate of -0.05 week and using the rule of three:

\frac{0.05}{1} = \frac{1}{total\ of\ weeks}  \\total\ of\ weeks = \frac{1}{0.05}=\frac{1}{\frac{1}{20} }\\  total\ of\ weeks = 20

Thus, It takes 20 weeks to empty the lake.

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3 years ago
I need to know how its b quickly
goblinko [34]
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3 years ago
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Answer:

a. Collins

b. A = 8^2

Step-by-step explanation:

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