How do you solve and check your solution given #9=3/4g#? Algebra Linear Equations One-Step Equations and Inverse Operations 1 Answer IDKwhatName Jun 27, 2017 #g=12# Explanation: Both sides must be divided by #3/4# to put #g# on its own. By dividing a fraction, you multiply by the inverse, i.e. #-:a/b -= *b/a#. Therefore, #3/4g -: 3/4 -= 3/4g*4/3 = (3*4)/(4*3)g = 12/12g = g# #9-:3/4 -= 9*4/3 = 36/3 = 12# #g=12# Answer link Related questions What are One-Step Equations? How do you check solutions when solving one step equations? How do you solve one step equations involving addition and subtraction? How do inverse operations help solve equations? What are some examples of inverse operations? How do you solve for x in #x + 11 = 7#? How do you solve for x in #7x = 21#? How do you solve for x in # x - \frac{5}{6} = \frac{3}{8}#? How do you solve for f in #\frac{7f}{11} = \frac{7}{11}#? How do you solve for y in #\frac{3}{4} = - \frac{1}{2} \cdot y#? See all questions in One-Step Equations and Inverse Operations Impact of this question 1408 views around the world You can reuse this answer Creative Commons License