Linear Equations - Shortcuts and Tricks for CAT Video Lecture | Numerical Ability for Banking Exams - Bank Exams

Ans. Some shortcuts for solving linear equations in the CAT exam include: - Cross-multiplication: This method can be used to solve equations with fractions. Multiply both sides of the equation by the common denominator to eliminate the fractions. - Elimination method: If you have two equations with the same variable coefficients but different constant terms, you can subtract one equation from the other to eliminate one variable. - Substitution method: Solve one equation for one variable and substitute it into the other equation to find the value of the remaining variable. - Graphical method: Plot the equations on a graph and find the point of intersection, which represents the solution to the system of equations. - Matrix method: Represent the system of equations as a matrix and use matrix operations to solve for the variables.

Ans. To quickly solve linear equations in the CAT exam, follow these tips: - Simplify the equation by combining like terms and isolating the variable on one side. - Look for common factors or patterns that can be used to simplify the equation further. - Use mental math techniques, such as multiplying or dividing by powers of 10, to simplify calculations. - Practice solving different types of linear equations to improve your speed and accuracy. - Use the answer choices to your advantage. Plug in the given values and see which one satisfies the equation.

Ans. Yes, there are tricks to solve linear equations with multiple variables in the CAT exam: - Use the substitution method: Solve one equation for one variable and substitute it into the other equations to reduce the number of variables. - Use the elimination method: Multiply one or both equations by appropriate constants to make the coefficients of one variable equal in magnitude but opposite in sign. Then, add or subtract the equations to eliminate one variable. - Solve the equations step by step: Start by solving for one variable and substitute the value into the other equations until you find the values of all the variables.

Ans. To approach word problems involving linear equations in the CAT exam, follow these steps: - Read the problem carefully and identify the key information. - Define the variables and write down the equations based on the given information. - Solve the equations to find the values of the variables. - Interpret the solution in the context of the problem. - Check your answer by substituting the values back into the original equations.

Ans. Some common mistakes to avoid when solving linear equations in the CAT exam include: - Forgetting to distribute or combine like terms when simplifying the equation. - Making calculation errors, such as adding or subtracting incorrectly. - Incorrectly applying the rules of operations, such as dividing by zero or multiplying/dividing both sides of the equation by different numbers. - Not checking the solution by substituting it back into the original equation. - Misinterpreting the solution or not providing the correct unit of measurement in word problems.