Solve Equations with Fraction or Decimal Coefficients. In the followin

Boduszewox6

Boduszewox6

Answered question

2021-11-13

Solve Equations with Fraction or Decimal Coefficients. In the following exercises, solve each equation by clearing the fractions.
13x+15x=8

Answer & Explanation

Witheyesse47

Witheyesse47

Beginner2021-11-14Added 14 answers

Consider the equation,
13x+15x=8
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 15.
So, 15(13x+15x)=15(8)
15(13x)+15(15x)=15(8)
5x+3x=120
8x=120
Solve further to get,
8x8=1208
x=15
Hence, x=15 is the solution of 13x+15x=8.

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