Answer:
The answer to all the questions is included in the explanation part.
Step-by-step explanation:
1. System of linear equations in two variables can be solved by following methods:
- Elimination method: In this method, it is required to eliminate one variable by comparing the coefficient of that variable and then find the value of other variable.
- Substitution method: In this method, you can substitute the value of one variable in the form of other in the second equation and then find the values of variables.
- Cross Multiplication method: In this method, a standard formula is used to calculate the values of the variables.
2. Eliminations and substitution methods are easy to apply when the coefficient of x and y are small. But when the coefficients are fractions or high in magnitude, then cross-multiplication methods can be applied.
3. While solving linear equations, we can get three type of solutions:
- Unique solution: When the system has only one solution. it is represented graphically by intersecting lines.
- No solution: When the lines are parallel, they don't have any common point or common solution.
- Infinite solutions: When the lines overlap each other, then the system has infinite solutions.
4. Consider a situation where you want to give your car for rent. A basic pay of $40 (assume) should be deposited by by the person and then for every month he/she has to pay $5 as a rent.
The situation can be modelled in equation as,
where y is the total amount paid by the person after x month of services.
This way you can model a rent problem using linear equations.
5. In the real world, there are several situations which can be modelled as a system of linear equations:
- Renting a house/ car/ gadgets etc.
- Estimating the medicine doses with correct ingredients.
- Estimating the work efficiency of a firm.
- Calculating the speed of a boat on flowing water.
There is a wide scope where linear equation can be used.
For more details, refer the link:
brainly.com/question/19549073?referrer=searchResults