10PTS: Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 –3/4 x +1/3 = 1/2x + 5 2 3 6 12
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the equation
6 –3/4 x +1/3 = 1/2x + 5
Solve the equation by eliminating.
Solution:
In order to solve using elimination, we simply needed to combine similar terms. 6 can be rewritten as 18/3 so we can combine easily.
18/3 –3/4x +1/3 = 1/2x + 5
19/3 - ¾x = ½x + 5
Transpose -¾x and 5 to the opposite sides of the equation, hence it must be taken to note that in transposing a number the sign changes.
19/3 - 15/3 = ½x + ¾x
4/3 = 5/4x
Multiply both sides by 4/5 to cancel out 5/4 leaving behind x.
(4/5)(4/3) = 5/4x (4/5)
12/15 = x
x = 4/5
Final answer:
x = 4/5