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Choose the justification for each step in the solution to the equation 6x - 9 = 45.
Step
Statements
Reasons
6x - 9 = 45
given
2
6x - 9 + 9 = 45 + 9
3
6x = 54
5
x = 9
addition property of equality
subtraction property of equality
multiplication property of equality
division property of equality
simplification

Drag the labels to the table Each label can be used more than once but not all labels will be used Choose the justification for each step in the solution to the class=

Respuesta :

Answer:

See explanations below

Step-by-step explanation:

Given the equation 6x - 9 = 45

Step 1; Add 9 to both sides based on addition property of equality

6x - 9 + 9 = 45 + 9

6x = 54

Step 2: Divide both sides by 5 based on division property of equality

6x/6 = 54/6

Step 3: Simply the result (Simplification)

x = 9

Answer:

Step 2: the addition property of equality.

Step 3: simplification.

Step 4: the division property of equality.

Step 5: simplification.

Step-by-step explanation:

In step 2, isolating 6x by adding 9 to both sides of the equation is justified by the addition property of equality.

In step 3, adding like terms on each side of the equation is simplification.

In step 4, dividing both sides of the equation by 6 to isolate x is justified by the division property of equality.

In step 5, the solution is obtained through simplification.

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