Equations are mathematical statements showing equality between two expressions. They involve variables constants and operators. Solving equations helps find unknown values. Linear quadratic and simultaneous equations are common types. Understanding equations is essential for algebra geometry and real-life problem-solving. Mastery of equations builds a strong foundation for advanced mathematics and logical reasoning in various fields.
Class 10 Maths Chapter 3 focuses on Pair of Linear Equations in Two Variables. It covers graphical and algebraic methods like substitution elimination and cross-multiplication to solve equations. The chapter emphasizes consistency of equations and real-life applications. Understanding this topic is crucial for CBSE Exam 2024-25 as it strengthens problem-solving skills and prepares students for advanced mathematical concepts and practical scenarios involving linear equations.
Share
Step 1: Definition of Standard Form
Standard form of a linear equation is represented as:
Ax + By = C
Where:
– A, B, and C are constants
– A, B, and C are integers
– A and B are not both zero
– A ≥ 0 (if A = 0, then B must be positive)
Step 2: Given Equation Analysis
Original equation: x + 2y = 3
Step 3: Transformation to Standard Form
– The equation is already very close to standard form
– To make it exactly standard form, we need to move all terms to one side
– Rearrange to: x + 2y – 3 = 0
Verification:
– Coefficients of x: 1
– Coefficients of y: 2
– Constant term: -3
– All parts meet standard form requirements
Step 4: Why Other Options Are Incorrect
– “2y + x = 3” ≠ standard form (terms not on one side)
– “3 – x = 2y” ≠ standard form (rearranged incorrectly)
Conclusion:
The correct standard form is x + 2y – 3 = 0
Click here for more:
https://www.tiwariacademy.in/ncert-solutions/class-10/maths/