
Rekha has 3 books more than twice the books with Suresh. Write the relationship using the letter \[y\].
Answer
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Hint: We will first assume the books with Suresh to be \[y\] and then multiply that by 2 and add 3 to the resultant to get the books with Rekha and thus we will get the answer.
Complete step-by-step answer:
We are given that: Rekha has 3 books more than twice the books with Suresh.
Since, we are given the book, Rekha has the terms of the books Suresh has.
So, we will assume Suresh books to be some assumed value.
We have already been told in the question that we have to use the letter \[y\].
Therefore, we will assume that Suresh has = \[y\] books.
Now, Rekha has 3 more than twice what Suresh has. So, we need to take twice what Suresh has, which is $2 \times y$ which is equal to 2y. We need to add 3 to it now, to get the number of books Rekha has.
So, Rekha must have = \[2y + 3\] books.
Additional Information: A mathematical equation is an expression containing two mathematical objects connected by an equals sign (=). The equals sign says that both sides are exactly equal, or of the same value. An equation can be as simple as x = 0.
The kind of equation that is either true or false; these are also called identities. For example:
$2(x + 4) = 2x + 8$ is true.
The kind of equation that is only true for certain values of the variable(s). The equation is only true if the variable(s) have that value. For example: $2x = 8$ is only true for $x = 4$.
Note: The students must keep in mind to take the assumed value to be \[y\] because we generally have a habit of taking the value to be $x$. We are specifically given in question that we need the expressions in terms of \[y\].
Complete step-by-step answer:
We are given that: Rekha has 3 books more than twice the books with Suresh.
Since, we are given the book, Rekha has the terms of the books Suresh has.
So, we will assume Suresh books to be some assumed value.
We have already been told in the question that we have to use the letter \[y\].
Therefore, we will assume that Suresh has = \[y\] books.
Now, Rekha has 3 more than twice what Suresh has. So, we need to take twice what Suresh has, which is $2 \times y$ which is equal to 2y. We need to add 3 to it now, to get the number of books Rekha has.
So, Rekha must have = \[2y + 3\] books.
Additional Information: A mathematical equation is an expression containing two mathematical objects connected by an equals sign (=). The equals sign says that both sides are exactly equal, or of the same value. An equation can be as simple as x = 0.
The kind of equation that is either true or false; these are also called identities. For example:
$2(x + 4) = 2x + 8$ is true.
The kind of equation that is only true for certain values of the variable(s). The equation is only true if the variable(s) have that value. For example: $2x = 8$ is only true for $x = 4$.
Note: The students must keep in mind to take the assumed value to be \[y\] because we generally have a habit of taking the value to be $x$. We are specifically given in question that we need the expressions in terms of \[y\].
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