Solve the rational equation. \frac{7}{x}+x=\frac{88}{x}

IMLOG10ct

IMLOG10ct

Answered question

2021-11-21

Solve the rational equation.
7x+x=88x

Answer & Explanation

Steacensen69

Steacensen69

Beginner2021-11-22Added 15 answers

Step 1
In first step, simplify the equation to form a more specific form where variables are on one side and constant values on the other side of equality as.
7x+x=88x
multiply by x on both sides of equation;
(7x+x)x=(88x)x
7+x2=88
x2=887
x2=81
Step 2
Now solve for x, to get the desired values as.
x2=81
x=±81
x=±9
x=9, -9
Uersfeldte

Uersfeldte

Beginner2021-11-23Added 20 answers

Step 1: Find the common denominator
7x+x=88x
7x+×x=88x
Step 2: Add fractions with a common denominator
7+×x=88x
Step 3: Group degrees
7+x2x=88x
Step 4: Rearrange the terms of the equation
x2+7x=88x
Step 5: Multiply all terms by the same number to get rid of the denominators
x(x2+7x)=x88x
Step 6: Reduce the multiplied terms in the denominator
x2+7=88
Step 7: Move the terms to the left of the equation
x2+788=0
Step 8: Subtract the numbers
x281=0
Step 9: Use the sum of the products
x281=0
Step 10: Multiply by factors
(x-9)(x+9)=0
Step 11: Create two separate equations
x-9=0
x+9=0
Step 12: Calculation
x=9
x=-9
The solution
x=9
x=-9

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