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If 5x + 3 = 2x + 18, then x equals:
3
5
7
4
5
To solve the linear equation 5x + 3 = 2x + 18, subtract 2x from both sides to get 3x + 3 = 18, then subtract 3 to yield 3x = 15, resulting in x = 5. This follows the fundamental principle of equality where operations applied to one side must be balanced on the other.
To solve the linear equation 5x + 3 = 2x + 18, subtract 2x from both sides to get 3x + 3 = 18, then subtract 3 to yield 3x = 15, resulting in x = 5. This follows the fundamental principle of equality where operations applied to one side must be balanced on the other.
The concept of algebraic equations relates to the Aryabhata era, specifically the 'Bija-ganita' (Algebra) contributions found in his seminal work, Aryabhatiya, which laid the foundation for modern mathematical notations in Indian history.
Algebraic linear equations involve finding the value of a variable that satisfies the equality of two expressions.
The process involves transposing variables to one side and constants to the other while changing their signs.
This type of arithmetic logic is a foundational component of the Quantitative Aptitude section in all RRB (Railway Recruitment Board) exams.
Option B (5) is correct because 5(5) + 3 = 28 and 2(5) + 18 = 28, satisfying the equation.
Option A (3) is incorrect as 5(3)+3=18 and 2(3)+18=24 (18 is not equal to 24).
Option C (7) is incorrect as 5(7)+3=38 and 2(7)+18=32 (38 is not equal to 32).
Option D (4) is incorrect as 5(4)+3=23 and 2(4)+18=26 (23 is not equal to 26).
B is correct тАФ Solving the linear equation yields x = 5 as the only value that balances both sides of the expression.
Mastering basic linear equations is crucial for solving problems on Age, Mixture and Alligation, and Speed-Distance-Time, which consistently carry high weightage in RRB CBT-1 papers.
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