Using linear systems to solve problems a 2 5 answers


Asked by admin @ in Mathematics viewed by 486 People


PLEASE PLEASE PLEASE HELP ME WITH ALGEBRA 1 PLEASE!?!?!?!?!!!?!?!?!?!?! I WILL GIVE LOTS OF POINTS AND BRAINLEST

1. What are the different ways you can solve a system of linear equations in two variables? What is the process for solving a system using each method?
2. What are the benefits and limitations to each method? When is it best to use each method?
3. What are the different types of solutions that you can get when you solve a system of linear equations? Describe the graphs of these different types of systems.
4. Explain how using systems of equations might help you find a better deal on renting a car.
5. Describe different situations in the real world that could be modeled and solved by a system of equations in two variables (Please do not use the example listed before).

Answered by admin @



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,

y=40+5x 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


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