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timurjin [86]
4 years ago
9

If an equation is an identity, then how many solutions does it have?

Mathematics
2 answers:
7nadin3 [17]4 years ago
8 0

Infinite is the answer

olga2289 [7]4 years ago
3 0
Hello,

If an equation is an identity, then every value of the variable makes the egality true.

Generaly we resolve an equation in R.

In this case Sol=R
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Raj tried to solve the system below.
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Answer: Option C) Raj forgot the negative when substituting -15+9x for y.


Solution:

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Isolating y in the first equation. Subtracting 9x both sides of the equation:

(1) 9x-y-9x=15-9x

Subtracting:

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Multiplying both sides of the equation by -1:

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Then Raj found the value of y. It's not option D.

Substitutng y by -15+9x in the second equation:

(2) 2x+8(-15+9x)=28

Then option C) is the answer: Raj forgot the negative when substituting -15+9x for y.

Eliminating the parentheses applying the distributive property in the multiplication:

(2) 2x-120+72x=28

Adding similar terms:

(2) 74x-120=28

Solving for x. Adding 120 both sides of the equation:

(2) 74x-120+120=28+120

Adding:

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Dividing both sides of the equation by 74:

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Dividing:

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Multiplying:

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Subtracting:

(1) y=3  

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