What property was applied to solve the equation below? I really need help. Picture included.

Mathematics

1 answer:

Lady_Fox [76]3 years ago

7 0

Answer:

D. Division property of Equality

Yes, this is correct because a division by -3/8 was applied and that's why it turned the solution into multiplication by using its reciprocal (-8/3).

Step-by-step explanation:

1. Let's find out the property applied to solve the equation:

-3/8x = 48

-3/8 * (-8/3)x = 48 * (-8/3)

x = -128

A. Addition property of Equality

No, this is not correct because no addition was used.

B. Subtraction property of Equality

No, this is not correct because no subtraction was applied.

C. Multiplication property of Equality

No, this is not correct because in case it was applied, it should have being done this way:

-3/8x = 48

-3/8 * (-3/8)x = 48 * (-3/8)

9x/64 = -144/8

D. Division property of Equality

Yes, this is correct because a division by -3/8 was applied and that's why it turned the solution into multiplication by using its reciprocal (-8/3).

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When the reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller, the

yawa3891 [41]

Answer: No solution

Step-by-step explanation:

1st number: x

2nd number: x + 2

reciprocal of the larger is $\frac{1}{x+2}$

4 times the reciprocal of the smaller is 4 $(\frac{1}{x})$

reciprocal of the larger of two consecutive even integers is subtracted from 4 times the reciprocal of the smaller is 4 $(\frac{1}{x})$ - $\frac{1}{x+2}$