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HACTEHA [7]
3 years ago
9

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

Mathematics
2 answers:
9966 [12]3 years ago
7 0

1. 4x = 7(x - 3)   GIVEN

4x = (7)(x) + (7)(-3)

2. 4x = 7x - 21     DISTRIBUTIVE PROPERTY

4x - 7x = 7x - 7x - 21

3. -3x = -21    SUBTRACTION PROPERTY OF EQUALITY

-3x : (-3) = -21 : (-3)

4. x = 7      DIVISION PROPERTY OF EQUALITY


Bond [772]3 years ago
4 0

1. Given

2. Distributive Property

3.Subtraction Property of Equality

4. Division Property of Equality

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Answer:

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Step-by-step explanation:

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Paha777 [63]
Let's try to divide the sentence into multiple parts and then combine it one by one to make it easier to understand. 

1. True
2 times y and 6                                                          -------->(2y+6)
the square of the sum of "2 times y and 6"             -------->(2y+6)^2
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2. True
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9 and x                                                         -------->(9 + x)
2 times the product of the sum of
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3. True
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4. False
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5. True
This one should be clear as it was one sentences
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6. False
The description should be: the product of 5 and 8 times the square of x plus the sum of 20x and 8
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8 plus the square of x plus the sum of 20x and 8-------->8+ x^2 +20x+8
the product of 5 and....                ------->(5)(........
the product of 5 and
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