To solve the equation 7.5d = 2.5d, Lin divides by 2.5d, and Elena subtracts 2.5d from each side. Will both moves lead to the same solution? Explain how you know
Answers
Answer:
2. 7.5d = 2.5d
a. Dividing both sides by 2.5 d gives the equation 3=1. This cannot be true! Because we don't know what d is, it could be zero, and dividing by zero is always bad! There's no way to put a quantity into zero parts!
Dividing an unknown out of an equation often results in this type of nonsense answer.
Subtracting the same quantity from both sides is perfectly fine and does lead to the answer:
b. 7.5d -2.5d = 2.5d - 2.5d
5d=0
Divide both sides by 5 to get d=0.
I hope that helps! Let me know if you have any questions, and have fun!
Step-by-step explanation:
Given : To solve the equation 7.5d = 2.5d, Lin divides by 2.5d, and
Elena subtracts 2.5d from each side.
To Find : Will both moves lead to the same solution
Solution:
7.5d = 2.5d
divides by 2.5d
Dividing by both sides is only possible if d≠ 0
=> 7.5d/2.5d = 2.5d/2.5d
=> 3 = 1
which is absurd
Elena subtracts 2.5d from each side.
7.5d - 2.5d = 2.5d - 2.5d
=> 5d = 0
=> d = 0
as d = 0 hence Lin divides by 2.5d is not correct operation as that assumed d≠ 0
Learn More:
Solve the following x+y/xy=5 and x-5/xy=7 - Brainly.in
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