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In Mathematics / Middle School | 2014-10-28

Solve the equation: \(\frac{5}{9}v - \frac{1}{3} = \frac{2}{3}v + \frac{1}{3}\).

Provide a simple explanation with all steps.

Asked by Anonymous

Answer (3)

1)ok so first line you transpose to group like terms so the V is on one side of the equal sign and the normal numbers on the other. 2) at all like terms so for the V and the normal you add by fractional addition or subtraction 3)divide both sides of the equation by the coefficient of V which is 7/12 4) finally divide by the fraction which in other wqords is multiply N ur done (Y) good luck

Answered by JoshEast | 2024-06-10

The required **value **of v in the given **expression **5/9v-1/3=2/3v+1/3 is v = -6.
What is simplification?
The method in the calculation to work and solve the **function **to make the function or **expression **simple or more understandable is called simplifying and the process is called simplification .
Here, Given expression, 5/9v-1/3 = 2/3v + 1/3
Adding -2/3v + 1 / 3 both sides 5/9v - 2/3v = 1/3 + 1/3
Solving both sides by taking LCM of denominators, v[5×1 - 2×3]9 = 2/3 v(-1/9) = 2/3 v = -2 × 9 / 3 v = -6
Thus, the required **value **of v in the given **expression **5/9v-1/3=2/3v+1/3 is v = -6.
Learn more about **simplification **here:
https://brainly.com/question/17101880
#SPJ2

Answered by priyankapandeyVT | 2024-06-17

The solution to the equation 9 5 ​ v − 3 1 ​ = 3 2 ​ v + 3 1 ​ is v = − 6 . This was found by eliminating fractions, rearranging, and solving for v .
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Answered by priyankapandeyVT | 2024-12-20