Does x=12 satisfiy the equation 16 - 1/2x = 3/4x + 1
Mathematics · Middle School · Sun Jan 24 2021
Answered on
Given the equation:
16 - ½x = ¾x + 1
Determine if x = 12 satisfies the equation.
Solution:
In order to determine if x = 12 satisfies the equation, we must simply solve for x.
16 - ½x = ¾x + 1
Transpose 1 and -½ to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
16 - ½x = ¾x + 1
16 - 1 = ¾x + ½x
15 = ¾x + 2/4x
15 = 5/4x
Multiply both sides of the equation by 4/5 which is the opposite of 5/4 in order to cancel out 5/4x leaving behind x.
15 (4/5) = (5/4x)(4/5)
x = 12
Final answer:
x = 12 satisfies the equation.