Math, asked by alen182, 7 months ago

can anyone say who is this​

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Answered by spacelover123
7

Let's solve your equation step-by-step.

\sf   \frac{x}{2} -\frac{1}{4}=\frac{x}{3}+\frac{1}{2}

Step 1: Simplify both sides of the equation.

\sf   \frac{1}{2}x -\frac{1}{4}=\frac{1}{3}x+\frac{1}{2}

Step 2: Subtract \sf  \frac{1}{3} x from both sides.

\sf   \frac{1}{2}x -\frac{1}{4}-\sf  \frac{1}{3} x=\frac{1}{3}x+\frac{1}{2}-\sf  \frac{1}{3} x

\sf \frac{1}{6}x+\frac{-1}{4}  =\frac{1}{2}

Step 3: Add \sf \frac{1}{4} to both sides.

\sf \frac{1}{6}x+\frac{-1}{4}  +\frac{1}{4} =\frac{1}{2}+\frac{1}{4}

\sf \frac{1}{6}x=\frac{3}{4}

\sf x=\frac{9}{2}

\rule{300}{1}

Verification if \sf x=\frac{9}{2} .

\sf   \frac{\frac{9}{2} }{2} -\frac{1}{4}=\frac{\frac{9}{2} }{3}+\frac{1}{2}

\sf \frac{9}{2}\times \frac{1}{2}-\frac{1}{4}=\frac{9}{2}\times \frac{1}{3}+\frac{1}{2}

\sf \frac{9}{4}-\frac{1}{4}=\frac{9}{6}+\frac{1}{2}

\sf  \frac{8}{4}=\frac{9}{6}+\frac{3}{6}

\sf \frac{8}{4}=\frac{12}{6}

\sf 2=2

\sf x=\frac{9}{2} in the equation ⇒ \sf   \frac{x}{2} -\frac{1}{4}=\frac{x}{3}+\frac{1}{2}

\rule{300}{1}

Additional Information :)

Algebra is all about puzzles. Here, \sf  x+9=19 we simply need to find the value of 'x'. So here 'x' is equal to 10. We can say that the sum of 10 and 9 is 19. Over here 'x' is a variable.

Variable is an unknown value and is mostly represented in small alphabets. The value can vary.

Constant is a number that has a proper value. The value can't vary.

In an algebraic expression, we don't have an equal sign whereas in an algebraic equation, we have an equal sign.

Answered by d687cyoyo
1

Answer:

9/2 is answer dear friend

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