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3 years ago

Find the value of x in the following system of equations:

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

Answer:

c.) x = 3

Step-by-step explanation:

2x - 3y = 9

x = 4 + y

Substitute the second equation into the first equation

2(4+y) - 3y = 9

Distribute

8+2y -3y =9

8-y = 9

Subtract 8 from each side

8-y-8 =9-8

-y = 1

Multiply by -1

y =-1

Now solve for x

x = 4-1

x =3

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Anastasy [175]

Answer:

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Step-by-step explanation:

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3 years ago

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sveta [45]

Answer:

$\displaystyle n^3-\frac{1}{n^{2}}$

Step-by-step explanation:

Exponents Properties

We need to recall the following properties of exponents:

$(a^x)^y=(a^y)^x=a^{xy}$

$\displaystyle a^{-x}=\frac{1}{a^x}$

We are given the expression:

$2^m=n$

We need to express the following expression in terms of n.

$8^m-4^{-m}$

It's necessary to modify the expression to use the given equivalence.

Recall $8=2^3 \text{ and }4 = 2^2$ . Thus:

$(2^3)^m-(2^2)^{-m}$

Applying the property:

$(2^m)^3-(2^m)^{-2}$

Substituting the given expression:

$n^3-n^{-2}$

Or, equivalently:

$\mathbf{\displaystyle 8^m-4^{-m}= n^3-\frac{1}{n^{2}}}$

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What is the length of each side of the triangle given a perimeter of 45 cm?

gladu [14]

TO find perimeter you add all sides. But to find the totaly of each side, you will divide. So a triangle has 3 sides, so you divide 45 by 3 to get the sides length of:
15 cm each
~hope this helped :)

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