Which of the following is an equation?

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f (x) = 2 x + 3

2 x + 3 = 4 y + 5

x = y

Both 2 and 3

answer is D.

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Detailed Solution

Concept-
An equation is an expression which expresses the relationship among portions which are the same to each other. An example of an equation is-

x = 7 y + 3

So, we can continue taking each option at a time successively.
In option 1, we have been given that

f (x) = 2 x + 3

.
In option 2, which is

2 x + 3 = 4 y + 5

, two variable quantities are being compared with the presence of an ‘equal to’ sign, which means that this is an equation.
Just like in the previous option, in option 3, which is

x = y

, two variable quantities are being compared so this is also an equation.
The option 4 states that both options 2 and 3 are equations, which is correct. Assuming that only one option among these can be correct, option 4 is the correct answer.
Hence, the correct option is 4) both 2 and 3

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