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Zarrin [17]
3 years ago
5

.Justify each step in solving the equation 4x=7(x-3) by writing a reason for each statement. 1. 4x=7(x-3) 2. 4x=7x-21 3. -3x=-21

4. x=7
Mathematics
1 answer:
MrRa [10]3 years ago
8 0
1. <span>4x=7(x-3) -----> Start with the given.
2. </span><span>4x=7x-21 -----> Distribute 7 by multiplying it to the individual terms inside the parenthesis. 7(x) - 7(3) = 7x -21
3. </span><span>-3x=-21   ------> From step 2, combine like terms by transposing. The equation becomes 4x - 7x = -21. Simplifying, it becomes -3x = -21
4. x = 7 -----> Divide both sides by -3, you get the value o x.

Hope this helps :)</span>
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Simplify the expression given below. 1/(2x^2-4x) -2/x
Sholpan [36]

Answer:

(9 - 4 x)/(x (2 x - 4))

Step-by-step explanation:

Simplify the following:

1/(2 x^2 - 4 x) - 2/x

Put each term in 1/(2 x^2 - 4 x) - 2/x over the common denominator x (2 x - 4): 1/(2 x^2 - 4 x) - 2/x = ((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)):

((x (2 x - 4))/(2 x^2 - 4 x))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

A common factor of 2 x - 4 and 2 x^2 - 4 x is 2 x - 4, so (x (2 x - 4))/(2 x^2 - 4 x) = (x (2 x - 4))/(x (2 x - 4)):

((x (2 x - 4))/(x (2 x - 4)))/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

(x (2 x - 4))/(x (2 x - 4)) = 1:

1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4))

1/(x (2 x - 4)) - (2 (2 x - 4))/(x (2 x - 4)) = (1 - 2 (2 x - 4))/(x (2 x - 4)):

(1 - 2 (2 x - 4))/(x (2 x - 4))

-2 (2 x - 4) = 8 - 4 x:

(8 - 4 x + 1)/(x (2 x - 4))

Add like terms. 1 + 8 = 9:

Answer: (9 - 4 x)/(x (2 x - 4))

3 0
4 years ago
Read 2 more answers
If = u2 + 2as, evaluate a when v - 5.<br>= 2 and s = 7.​
adell [148]

Answer:

75a

Step-by-step explanation:

2(vas)

2(35a)

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Hope this helps plz hit the crown :D

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3 years ago
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Answer:

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Step-by-step explanation:

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17y=-68 so

y=-4

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z=-5

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X=-3

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