Question

10. Solve the following linear equations iii) (2x-1)/3 – (6x-2)/5 = 1/3

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Expression

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

Taking LCM,

$\frac{5(2x-1)-3(6x-2)}{15}=\frac{1}{3}$

$\frac{10x-5-18x+6}{15}=\frac{1}{3}$

$\frac{1-8x}{15}=\frac{1}{3}$

Cross multiply,

3(1−8x)=15

3−24x=15

24x=−12

$x=-\frac{12}{24}$

$x=-\frac{1}{2}$

Therefore, The value of x is $x=-\frac{1}{2}$