Question

X by 2 minus 1 by 5 equal to x by 3 plus 1 by 4

Answer 1

${\huge {\mathfrak {Answer :-}}}$

We have, x/2 - 1/5 = x/3 + 1/4

Or, x/2 - x/3 = 1/5 + 1/4

Or, x/6 = 9/20

Or, x = 54/20 = 27/10

➡️ Hence, x = 27/10

$<i>$ That's it..

Answer 2

Answer:On solving  $\frac{x}{2}-\frac{1}{5} = \frac{x}{3} +\frac{1}{4}$ the value of x is $\frac{27}{10}$ or 2.7.

Step-by-step explanation:

Given:We have given   $\frac{x}{2}-\frac{1}{5} = \frac{x}{3} +\frac{1}{4}$

To find:We have to find the value of x.

Explanation:

Step 1:As we have given  $\frac{x}{2}-\frac{1}{5} = \frac{x}{3} +\frac{1}{4}$.

Step 2:LCM of 2 and 5 is 2×5=10 and LCM of 3 and 4 is 3×4= 12

            So we have,

⇒  $\frac{x}{2}-\frac{1}{5} = \frac{x}{3} +\frac{1}{4}$.

⇒   $\frac{5x-2}{10} = \frac{4x+3}{12}$

Step 3:On doing cross multiplication we have,

⇒   $12(5x-2) = 10(4x+3)$

Step 4:On solving the above equation we have,

⇒     $60x-24 = 40x+30$

⇒   $60x-40x = 30+24$

⇒             $20x = 54$

⇒                $x = \frac{54}{20}$

⇒                $x = \frac{27}{10}$  

Or               $x = 2.7$

∴ The value of x is $\frac{27}{10}$ or 2.7.

Rules for solving linear equation:

When we are solving linear equations, our target is to determine what is the value of variable, if any, it will produce a true statement when substituted in the original equation. Do this by isolating the variable using the following steps:

1) Simplify both the sides of the equation using the order of operations and combine all same-side like terms.

2) Use the appropriate properties of equality to combine opposite-side like terms with the variable term on one side of the equation and the constant term on the other.

3) Divide or multiply as needed to isolate the variable.

4) Check to see if the answer solves the original equation.

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