Solve the equation: 102x-5+1x+5=183x-5

Shohan

4 views

2025-01-04 04:42

1 Answers

Shohan

$\frac{10}{2 x - 5} + \frac{1}{x + 5} = \frac{18}{3 x - 5}$

$\Rightarrow \frac{10}{2 x - 5} + \frac{1}{x + 5} = \frac{15 + 3}{3 x - 5}$

$\Rightarrow \frac{10}{2 x - 5} - \frac{1}{x + 5} = \frac{15}{3 x - 5} + \frac{3}{3 x - 5}$

$\Rightarrow \frac{10}{2 x - 5} - \frac{15}{3 x - 5} = \frac{3}{3 x - 5} - \frac{1}{x + 5}$ [ পক্ষান্তর কর]

$\Rightarrow \frac{10 (3 x - 5) - 15 (2 x - 5)}{(2 x - 5) (3 x - 5)} = \frac{3 x (x + 5) - 1 (3 x - 5)}{(3 x - 5) (x + 5)}$

$\Rightarrow \frac{30 x - 50 - 30 x + 75}{(2 x - 5) (3 x - 5)} = \frac{3 x + 15 - 3 x + 5}{(3 x - 5) (x + 5)}$

$\Rightarrow \frac{25}{(2 x - 5) (3 x - 5)} = \frac{20}{(3 x - 5) (x + 5)}$

$\Rightarrow \frac{5}{2 x - 5} = \frac{4}{x + 5}$ [উভয় পক্ষকে 5 দ্বারা ভাগ করে এবং (3x + 5) দ্বারা গুণ করে]

$\Rightarrow 4 (2 x - 5) = 5 (x + 5)$ [আড় গুণন করে]

$\Rightarrow 8 x - 20 = 5 x + 25$

$\Rightarrow 8 x - 5 x = 25 + 20$ [পক্ষান্তর করে]

$\Rightarrow 3 x = 45$

$\Rightarrow x = \frac{45}{3}$

$∴ x = 15$

$∴ x = 15 (a n s w e r)$

4 views Answered 2024-12-14 13:31

Related Questions

This problem must ( solve) immediately. (Correct the right forms of verb)

1 Answers 7 Views

Solve the equations: 2x+3x-32−7x+3x-3+6=0 (Equation)

1 Answers 6 Views

solve the equation: 3x+2+x+1x-5=2 (Equation)

1 Answers 5 Views

solve: 12x+6y=3, 5x+3y=11

1 Answers 4 Views

বার্ষিক বনভোজন অনুষ্ঠান আয়োজনের জন্য নবোদয় সমিতির সদস্যরা ৪৫,০০০ টাকা বাজেট করলেন এবং সিদ্ধান্ত নিলেন যে, প্রত্যেক সদস্যই সমান চাঁদা দিবেন। কিন্তু ৫ জন সদস্য চাঁদা না দেয়ায় বাকি সদস্যদের মাথাপিছু ১৫ টাকা চাঁদা বৃদ্ধি পেল। নবোদয় সমিতির সদস্য সংখ্যা কত? (Equation)

1 Answers 9 Views

x2+1x2=1, find the value of x102+x96+x90+x84+x78+x72+5 (Equation)

1 Answers 9 Views

Solve the following problems: Katrina has a wheat business. She purchases wheat from a local wholesaler at particular cost per pound. The price of the wheat at her stores is $3 per pound. Her faulty spring balance reads: 0.9 pounds for a pound. Also, in the festival season, she gives a 10% discount on the wheat. She found that the made neither a profit nor a loss in the festival season. At what price did Katrina purchase the wheat from the wholesaler? (profit and loss)

1 Answers 4 Views

Solve the following problems: John is 20 years older than Steve. In 10 years, Steve's age will be half that of John's. What is Steve's age? (Age)

1 Answers 5 Views

Committee X has 4 members, committees Y has 5 members, and these committees have no members in common. If a task force is to be formed consisting of one member of X and one member of Y, how many different task forces are possible? (Solve the following problem)

1 Answers 5 Views

None can solve this problem, _____? (Make tag question of the following statement)

1 Answers 5 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)