Solve Equations with Fraction or Decimal Coefficients. In the followin

veudeje

veudeje

Answered question

2021-11-15

Solve Equations with Fraction or Decimal Coefficients. In the following exercises, solve each equation by clearing the fractions.
25n110=710

Answer & Explanation

Lauren Fuller

Lauren Fuller

Beginner2021-11-16Added 14 answers

Given:
The equation is 25n110=710
Consider the equation,
25n110=710
In order to find the solution follow the steps given below:
First find the least common denominator of all the fractions.
Then, multiply both sides of the equation by the least common denominator
Then, use Distributive Property which states that for any real numbers a,b and c, a(b+c)=ab+ac.
Then simplify.
The least common denominator is 10.
So, 10(25n110)=10(710)
10(25n)10(110)=10(710)
4n1=7
4n1+1=7+1
Solve further to get,
4n=8
4n4=84
n=2
Hence, n=2 is the solution of 25n110=710.

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