what is y in the equation 2/3 (2y+1) = 3/7 (2-y)
Mathematics · High School · Mon Jan 18 2021
Answered on
Given the numerical equation:
⅔ (2y + 1) = 3/7 ( 2 - y )
Solve for y.
Solution:
In order to solve for y, we simply need to distribute ⅔ and 3/7 on their corresponding parenthesis first.
⅔(2y + 1) = 3/7 ( 2 - y )
4/3y + ⅔ = 6/7- 3/7y
Convert each fraction to decimal so that we can easily solve the given numerical equation. Thi can be done by dividing the numerator with the denominator
4/3 = 1.33…
⅔ = 0.66…
6/7 = 0.86
3/7 =0.43
We designate ellipsis for repeating decimals.
Equate back the decimals to the equation.
1.33…y + 0.66… = 0.86 - 0.43y
Transpose 0.43 and 0.66 on their opposite sides of the equation, hence we must take note that in transposing a number, the sign changes.
1.33…y + 0.43y = 0.86 - 0.66…
1.763…y = 0.1934..
Divide both sides by 1.763, to cancel out 1.763y leaving behind y.
1.763…y/1.763… = 0.1934…/1.763…
y = 0.11
FInal answer:
y = 0.11