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Sliva [168]
3 years ago
13

Find the mistake made in the steps to solve the equation below.

Mathematics
1 answer:
harkovskaia [24]3 years ago
7 0

Answer:

A

Step-by-step explanation:

Though it is a very tiny error (one of declaration), step 6 was done correctly but not given the right reason. It is not the division property the way it is written. It is the multiplication property. That's pretty tiny considering that you could have written it as (5/5)x which would have made it division.

The answer is A

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-----------------------------------------------
Information Given:
-----------------------------------------------
ON = 7x - 9
LM = 6x + 4
MN = x - 7
OL = 2y - 7

-----------------------------------------------
Since it is a parallelogram:
-----------------------------------------------
ON = LM and
MN = OL

-----------------------------------------------
ON = LM:
-----------------------------------------------
7x - 9 = 6x + 4

-----------------------------------------------
Subtract 6x from both sides:
-----------------------------------------------
x - 9 = 4

-----------------------------------------------
Add 9 to both sides:
-----------------------------------------------
x = 13

-----------------------------------------------
MN = OL:
-----------------------------------------------
x - 7 = 2y - 7

-----------------------------------------------
Sub x = 13:
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13 - 7 = 2y - 7

-----------------------------------------------
Simplify:
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6 = 2y - 7

-----------------------------------------------
Add 7 on both sides:
-----------------------------------------------
13 = 2y

-----------------------------------------------
Divide by 2:
-----------------------------------------------
y = 13/2

-----------------------------------------------
Answer: x = 13, y = 13/2 (Answer D)
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