Solve the equation. \frac{9x-8}{9}+\frac{1}{x+5}=x

grasaladae5

grasaladae5

Answered question

2021-11-17

Solve the equation.
9x89+1x+5=x

Answer & Explanation

Whouldess

Whouldess

Beginner2021-11-18Added 11 answers

Step 1
The given equation is,
9x89+1x+5=x
Step 2
First, multiply both sides of the equation by the LCM.
9x899(x+5)+1x+59(x+5)=x9(x+5)
(9x-8)*(x+5)+9=9x(x+5)
(9x8)(x+5)+9=9x2+45x
9x2+37x31=9x2+45x
Step 3
Now, simplify the obtained equation as follows.
9x2+37x31+31=9x2+45x+31
9x2+37x=9x2+45x+31
-8x=31
x=318
Zachary Pickett

Zachary Pickett

Beginner2021-11-19Added 17 answers

Step 1: Find the common denominator
9x89+1x+5=x
(x+5)(9x8)9(x+5)+99(x+5)=x
Step 2: Add fractions with a common denominator
(x+5)(9x8)+99(x+5)=x
Step 3: Write the data as a generalized function
x(9x8)+5(9x8)+99(x+5)=x
Step 4: Write the data as a generalized function
9x28x+5(9x8)+99(x+5)=x
Step 5: Write the data as a generalized function
9x28x+45x40+99(x+5)=x
Step 6: Combine similar members
9x2+37x40+99(x+5)=x
Step 7: Add numbers
9x2+37x319(x+5)=x
Step 8: Write the data as a generalized function
9x2+37x319x+45=x
Step 9: Common divisor
9x2+37x319(x+5)=x
Step 10: Multiply all terms by the same number to get rid of the denominators
9(x+5)(9x2+37x319(x+5))=9(x+5)x
Step 11: Reduce the multiplied terms in the denominator
9x2+37x31=9(x+5)x
Step 12: Write the data as a generalized function
9x2+37x31=9x2+45x
The solution
9x2+37x31=9x2+45x

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