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yulyashka [42]
2 years ago
6

3x+7=7x+8-3x how do i solve this? is it like infinite solutions, no solutions (Ø) or an actual number answer?

Mathematics
2 answers:
oksano4ka [1.4K]2 years ago
8 0

Answer:

x=-1

Step-by-step explanation:

3x+7=7x+8-3x

3x+7=4x+8

-4x      -4x

-x+7=8

   -7  -7

<u>-x=1</u>

 -1

x=-1

Savatey [412]2 years ago
4 0

Hey there!

3x + 7 = 7x + 8 - 3x

3x + 7 = 4x + 8

SUBTRACT 4x to BOTH SIDES

3x + 7 - 4x = 4x + 8 - 4x

WORK IT OUT!

NEW EQUATION: -x + 7 = 8

-1x + 7 = 8

SUBTRACT 7 to BOTH SIDES

-1x + 7 - 7 = 8 - 7

CANCEL out: 7 - 7 because it give you 0

KEEP: 8 - 7 because it give you the value of x.

NEW EQUATION: -1x = 8 - 7

SIMPLIFY IT!

-1x = 1

DIVIDE -1 to BOTH SIDES

-1x/-1 = 1/-1

CANCEL out: -1/-1 because it give you 1

KEEP: 1/-1 because it give you the value of x

NEW EQUATION: x = 1/-1

SIMPLIFY IT!

x = -1

Therefore, your answer is: x = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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The probability that the next person will be assigned an orchestra seats is 2/5.

<h3>What is Probability?</h3>

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, Available Orchestra seats = 8

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      Total available seats = 12 + 8 = 20

  Probability = Favorable Outcome / Total Outcome

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2 years ago
Which is the value of the expression (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed?
Flura [38]

Answer:

The value to the given expression is 8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Step-by-step explanation:

Given expression is (StartFraction (10 Superscript 4 Baseline) (5 squared) Over (10 cubed) (5 cubed)) cubed

Given expression can be written as below

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3

To find the value of the given expression:

\left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=\frac{((10^4)(5^2))^3}{((10^3)(5^3))^3}

( By using the property ((\frac{a}{b})^m=\frac{a^m}{b^m} )

=\frac{(10^4)^3(5^2)^3}{(10^3)^3(5^3)^3}

( By using the property (ab)^m=a^mb^m )

=\frac{(10^{12})(5^6)}{(10^9)(5^9)}

( By using the property (a^m)^n=a^{mn} )

=(10^{12})(5^6)(10^{-9})(5^{-9})

( By using the property \frac{1}{a^m}=a^{-m} )

=(10^{12-9})(5^{6-9}) (By using the property a^m.b^n=a^{m+n} )

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=\frac{10^3}{5^3} ( By using the property a^{-m}=\frac{1}{a^m} )

=\frac{1000}{125}

=8

Therefore \left[\frac{(10^4)(5^2)}{(10^3)(5^3)}\right]^3=8

Therefore the value to the given expression is 8

3 0
3 years ago
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