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Supply reasons to justify the steps:

Steps

Reasons

1. y=12

1. Given

2. 5x=2x+y

2. Given

3. 5x=2x+12

3.?

4. 3x=12

4.?

5. x=4

5.?

Short Answer

Expert verified

The reasons of the steps are:

Steps

Reasons

1. y=12

1. Given.

2. 5x=2x+y

2. Given.

3. 5x=2x+12

3. y=12.

4. 3x=12

4. Addition subtraction property of 鈥=鈥.

5.x=4

5. Division property of 鈥=鈥.

Step by step solution

01

Step 1. State the reason for statement 1.

Statement 1 is y=12.

Reason is: It is given.

02

Step 2. State the reason for statement 2.

Statement 2 is 5x=2x+y.

Reason is: It is given.

03

Step 3. State the reason for statement 3.

Statement 3 is 5x=2x+12.

As it is given y=12, substituting it in step 2 result in 5x=2x+12.

Therefore, reason is y=12.

04

Step 4. State the reason for statement 4.

Statement 4 is 3x=12.

By equating the equation in step 3, step 4 is obtained.

Therefore, the reason is 鈥渁ddition and subtraction property of 鈥=鈥濃.

05

Step 5. State the reason for statement 5.

Statement 5 is x=4.

By equating the equation in step 4, step 5 is obtained.

Therefore, the reason is 鈥渄ivision property of 鈥=鈥濃.

06

Step 6. State the conclusion.

The reasons of the steps are:

Steps

Reasons

1. y=12

1. Given.

2. 5x=2x+y

2. Given.

3. 5x=2x+12

3. y=12.

4. 3x=12

4. Addition subtraction property of 鈥=鈥.

5. x=4

5. Division property of 鈥=鈥.

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