Word problems are very important in pair of linear equations. There are four methods of solving pair of linear equations.
- Graphical method
- Elimination method
- Substitution method
- Cross multiplication method
You can choose any one of the above methods to solve the word problems or as per the question. There are some steps recommended to solve the word problems as given below.
- Step-1: Identify the question asked in the problem. The unknown should be taken as x and y.
- Step-2: Identify the concept of the word problem. ( *Refer the different concepts given in the model problem mapping.)
- Step-3: Identify the two conditions that form the pair of linear equations.
- Step-4: Identify the coefficients of x and y in each condition.
- Step-5: Establish the pair of linear equations
- Step-6: Select any of the above methods to solve the equations.
- Step-7: Verify the x and y values obtained with your pair of linear equations.
- Step-8: Present the answer as a statement with appropriate units.
Model Problem Mapping in Word Problems
- Cost based problem with profit and loss.
- Age related problems. 5 years ago means subtract the value or after 5 years means add the value. Generally the current ages are considered as x and y.
- Two digits number based problems where digit values are added or reversed. Consider 10x + y as the two digit number.
- Fraction based problem where either denominator or neumerator is added or subtracted.
- Area related problem
- Triangle based problems
- Cyclic quadrilateral problems
- Volume related problems
- Distance and speed problems
- Upstream and downstream problems of a boat.
- Work and manhour problems
