Determine whether the given problem is an equation or an expression. If it is an

smileycellist2

smileycellist2

Answered question

2021-09-27

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify. n+(2n3)92=(2n+1)3

Answer & Explanation

AGRFTr

AGRFTr

Skilled2021-09-28Added 95 answers

Step 1
An expression is a sentence with a minimum of two numbers and at least one operation. An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have same value.
Step 2
The given problem n+(2n3)92=(2n+1)3 is an equation, as it contains an equal symbol between two algebraic expressions that have same value.
Hence, the given problem is an equation.
The given equation can be solved by isolating the variable into one side and then solve as follows;
n+(2n3)92=(2n+1)3
n2=(2n+1)3(2n3)9
n2=3×(2n+1)3×3(2n3)9... multiply numerator and denominator by 3 to make the denominator 9
n2=(6n+3)9(2n3)9
n2=(6n+3)(2n3)9
9(n2)=9×(6n+3)(2n3)9... multiply both sides with 9
9n18=(6n+3)(2n3)
9n18=6n+32n+3
9n18=4n+6
9n4n=6+18
5n=24
n=245
Hence, the solution of the given equation in the question is n=245.

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