Mathematics: What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

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What is the solution to the linear equation? 2/3x

Ответ:

ariyanna029

10.03.2022

Mathematics

For this case we must solve the following equation:

$\frac {2} {3} x- \frac {1} {2} = \frac {1} {3} + \frac {5} {6} x$

Subtract $\frac {5} {6} x$ on both sides of the equation:

$\frac {2} {3} x- \frac {5} {6} x- \frac {1} {2} = \frac {1} {3}$

We add $\frac {1} {2}$ to both sides of the equation:

$\frac {2} {3} x- \frac {5} {6} x = \frac {1} {3} + \frac {1} {2}\\\frac {12-15} {18} x = \frac {2 + 3} {6}\\\frac {-3} {18} x = \frac {5} {6}\\- \frac {1} {6} x = \frac {5} {6}\\$

We multiply by 6 on both sides of the equation:

-x = 5

We multiply by -1 on both sides of the equation:

x = -5

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What is the solution to the linear equation? 2/3x – 1/2 = 1/3 + 5/6 x

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