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zepelin [54]
3 years ago
8

Solve the system of linear equations below, using substitution method.

Mathematics
1 answer:
Karolina [17]3 years ago
7 0

Answer:

The solution is (0,4).

Step-by-step explanation:

We are given the following system of equations:

8x + 9y = 36

3x + 4y = 16

Solving by substitution.

In the first equation, we have that:

8x + 9y = 36

8x = 36 - 9y

x = \frac{36-9y}{8}

Replacing in the second equation:

3x + 4y = 16

3\frac{36-9y}{8} + 4y = 16

Multiplying everything by 7

3(36 - 9y) + 32y = 128

108 - 27y + 32y = 128

5y = 20

y = \frac{20}{5}

y = 4

Now, with y, we can find x.

x = \frac{36-9*4}{8} = 0

So the solution is (0,4).

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Step-by-step explanation:

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6 0
4 years ago
Adan can do a piece of work in 3 days, Bernie in 4 days, and Cynthia in 6 days each working alone.
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1 day and 8 hours

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3 0
4 years ago
Can someone explain how to work this out please ?
cupoosta [38]

Answer:

x=4

Step-by-step explanation:

f(x) = (x-2)^5  +3

Let f(x) = 35

35 = (x-2)^5  +3

Subtract 3 from each side

35-3 = (x-2)^5  +3-3

32 = (x-2)^5

Take the fifth root of each side

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6 0
3 years ago
a father is 25 years older than his son.Five years ago he was 6 time old as his son was find their presents
IceJOKER [234]

Answer:

the present age of the father be x and the present age of the son be y.

It is given that man is 24 years older than his son that is:

x=y+24

x−y=24..........(1)

Also, 12 years ago, he was five times as old as his son that is:

(x−12)=5(y−12)

x−12=5y−60

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Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get

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Substituting this value of y in (1), we get

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Hence, the present age of the father is 42 years and the present age of the son is 18 years.

Step-by-step explanation:

5 0
3 years ago
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