Answer:
47/3
Step-by-step 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
