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torisob [31]
3 years ago
5

Find the value of x in the solution to the system of equations shown.

Mathematics
1 answer:
I am Lyosha [343]3 years ago
8 0

To solve this system of equations, the easiest method to use is substitution. Both of our equations are already in terms of y (set equal to y), so we can substitute in the equivalent x values to create an equation with only one variable.


y = 14x - 6

y = -4x + 48


-4x + 48 = 14x - 6


To simplify, we are going to add 4x and add 6 to both sides of the equation to get all of the constant terms on one side of the equation and all of the variable terms on the other. We are also going to simplify by combining like terms.


-4x + 4x + 48 + 6 = 14x + 4x - 6 + 6

48 + 6 = 14x + 4x

54 = 18x


Finally, we must divide both sides of the equation by 18 because division is the inverse operation of multiplication, which allows us to cancel out the coefficient of 18.


54/18 = 18x/18

3 = x


Therefore, your answer is B. x = 3.


Hope this helps!

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Which ordered pair in the form (a, b) is a solution of this equation?
Evgen [1.6K]

3a - 4b = 21


check (-2 , -3)


3(-2) -4(-3) =21


-6 +12  = 21


6 does not = 21  so NO


check (0 , 7)


3(0) -4(7) =21


0-28=21


-28 does not equal 21  so NO


check (-3 , -2)


3(-3) -4(-2) =21


-9 +8  = 21


1 does not = 21  so NO


check (7 , 0)


3(7) -4(0) =21


21  = 21

Choice D

5 0
4 years ago
PLEASE HELP ASAP! Will give brainliest if you explain
Romashka-Z-Leto [24]
Well, the best way to solve this would involve the Pythagorean theorem. 
First, take the length of the hypotenuse (the string in this case) and square it. Do the same to the side length we are given (the kites height above the ground).
We then subtract the squared height from the squared hypotenuse. We should be left with 1,781m.
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5 0
3 years ago
Read 2 more answers
Help me with this plase
MakcuM [25]

Answer:

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3 0
2 years ago
I need help on this it is a fraction subtract another fraction which is negative thx to whoever helps 5/7-(-1/7)
Sav [38]

Answer:

\frac{5}{7}-(-\frac{1}{7})=\frac{6}{7}

Step-by-step explanation:

To evaluate :

\frac{5}{7}-(-\frac{1}{7})

Solution:

Two negatives multiply to become a positive.

Thus, we can remove parenthesis by reversing the signs of the fraction by multiplying the negative outside.

⇒ \frac{5}{7}+\frac{1}{7}

Since the denominators are same for both fractions, so we simply add the numerators.

⇒ \frac{5+1}{7}

⇒ \frac{6}{7}  (Answer)

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3 years ago
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Elodia [21]

To find the volume of a sphere, we can apply the following formula:

(4

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We know the radius is 10, so we can plug that value in.

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The question says "exact" volume, so I've included all of the digits in the tenths and beyond place, without rounding.

3 0
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