Question

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Solve
$5x - 2(2x - y ) = 2(3x - 1) + \frac{7}{2}$
$\rule{300}{2}$

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Answer 1

Answer:

${\underline{\boxed{\sf\green{Answer = \dfrac{5}{2}}}}}$

Step-by-step explanation:

Correct Question:-

Solve:-

${\sf\green{\boxed{\sf\blue{5x - 2(2x - 7) = 2(3x - 1) + \dfrac{7}{2}}}}}$

Solution:-

$\Rightarrow\sf 5x - 2(2x - 7) = 2(3x - 1) +\dfrac{7}{2} \\\\\\\Rightarrow\sf 5x - 4x + 14 = 6x - 2 + \dfrac{7}{2} \\\\\\\Rightarrow\sf x + 14 = 6x + \dfrac{- 4 + 7}{2} \\\\\\\Rightarrow\sf x - 6x = \dfrac{3}{2} - 14 \\\\\\\Rightarrow\sf - 5x = ( \dfrac{3 - 28}{2}) \\\\\\\Rightarrow\sf 5x =\dfrac{25}{2} \\\\\\\Rightarrow\sf 10x = 25 \\\\\\\Rightarrow\sf x =\cancel{\dfrac{25}{10}}\\\\\\\Rightarrow{\boxed{\sf\green{x =\dfrac{5}{2}}}}$

Verification:-

Putting value of x :-

$\sf 5x - 2(2x - 7) = 2(3x - 1) +\dfrac{7}{2} \\\\\Rightarrow\sf 5 \times \dfrac{5}{2} - 4 \times \dfrac{5}{2} + 14 = 6\times \dfrac{5}{2} - 2 + \dfrac{7}{2}$

$\Rightarrow\sf \dfrac{25}{2} - 10 + 14 = 15 + \dfrac{- 4 + 7}{2} \\\\\Rightarrow\sf \dfrac{25}{2} + 4 = 15 + \dfrac{3}{2} \\\\\Rightarrow\sf \dfrac{25 + 8}{2} = \dfrac{30 + 3}{2} \\\\\Rightarrow\sf\green{\dfrac{33}{2} = \dfrac{33}{2}}$

${\underline{\sf\pink{\boxed{\therefore{\sf\blue{Value\:of\:x =\dfrac{5}{2}}}}}}}$