Question

I have to repost this because I was giving wrong answers. The instructions are to complete each proof using the properties of equality ​

Answer 1

Answer and Step-by-step explanation:

We are given:

$\frac{2y-1}{-3} = 5$

First, we multiply both sides by -3.

2y - 1 = 15

Now we add 1 to both sides.

2y = 16

Finally, we divide by 2 to each side.

y = 8

We are given:

2x + 30 = -4(5x -2)

First we distribute the -4 to 5x and -2.

2x + 30 = -20x + 8

Now we subtract 8 from both sides.

2x + 22 = -20x

Now we subtract 2x from both sides.

22 = -22x

Finally, we divide by -22 to both sides.

-1 = x

  Statements:                             Reasons:

             Given

  2y - 1 = 15                Multiplication Property of Equality

  2y = 16                       Addition like terms

  y = 8                                         Division Property of Equality

  Statements:                             Reasons:

2x + 30 = -4(5x -2)    Given

  2x + 30 = -20x + 8                Distribution Property of Equality

  2x + 22 = -20x           Subtraction Property of Equality

  22 = -22x                                 Subtraction Property of Equality

  -1 = x                                         Division Property of Equality

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