Question

Please give me the steps to solves this problem.

Answer 1

47/3

Explanation:

Solve for x

7/(3x+9) = 1/8

Multiply the numerator of the first f raction by the d enominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the n umerator of the second fraction.

7 ⋅ 8 = (3x + 9) ⋅ 1

Solve the equation for x.

Rewrite the equation as (3x + 9) ⋅ 1 = 7 ⋅ 8.

(3x + 9) ⋅ 1 = 7 ⋅ 8

Multiply 3x + 9 by 1.

3x + 9 = 7 ⋅ 8

Multiply 7 by 8.

3x + 9 = 56

Move all terms not containing x to the right side of the equation.

Subtract 9 from both sides of the equation.

3x = 56 − 9

Subtract 9 from 56.

3x = 47

Divide each term by 3 and simplify.

Divide each term in 3x = 47 by 3.

3x/3 = 47/3

Answer 2

47/3

Explanation:

Multiply 3x+9 on both sides to get 7 = (3x+9)/8

Multiply 8 on both sides to get 56 = 3x+9

Subtract 9 on both sides to get 47=3x

Divide 3 on both sides to get 47/3