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A landscaping company placed two orders with a nursery. The first order was for13bushes and4trees, and totalled$487. The second order was for6bushes and2trees, and totalled$232. The bills do not list the per-item price. What were the costs of one bush and of one tree?
Letb =the number of bushes andt = the number of trees and set up a system of equations:
first order:13b+ 4t= 487
second order:6b+ 2t= 232
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How linear equations related to your life?
I never need them :D
What are real life situations which are applications of linear equations?
Cell phone companies
Using linear equations in real life?
I image you intends algebraic linear equations. A great number of problems in real life are mathematically model with algebraic linear equations like - Design of electronic filters for any application (smart-phones, stereo systems, radio systems, ....) - Optimization of the any problem that can be modeled with the so called simplex algorithm (commercial programs uses this set of linear equations to optimize management of a civil airplane company, of the production in a car factory, of the management of a warehouse and many other problems) - The determination of currents and voltages in an electrical circuit composed of resistances, inductive elements, capacitors and ideal amplifiers can be done by a system of algebraic linear equations; This is only a very limited set of examples. However in mathematics any equation, not only algebraic, but also integral, differential and so on, is called linear if the sum of two solutions is again a solution and the product of a solution by a number is again a solution. You can easily verify that it is true also for homogeneous algebraic equations (that is linear angebraic equations without the known term). For example if we have the two unknown x and y the equation 2x+y=0 is linear. As a matter of fact, since x=1, y=-2 is a solution and x=-2, y=4 is another solution, also the sum of the two solutions, that is x=-1, y=2 is another solution. If we adopt this extended definition, the quantum mechanical basic equations are linear, thus we can say that, up to the moment in which we do not consider cosmic bodies for whom gravity is important, the whole world is linear !!
What is the first step in developing a system of equations from a real-life situation?
Defond your variables. (Saifoo.khan)
Where do you use formulating equations in life?
well, if you know all the formulating equations it will make you better at regular equations and regular equations can be used in everyday life
Why is it important the linear equations and inequalities?
There are many simple questions in everyday life that can be modelled by linear equations and solved using linear programming.
How linear equations related to your life?
I never need them :D
What is linear algebra used for?
Linear algebra is used to analyze systems of linear equations. Oftentimes, these systems of linear equations are very large, making up many, many equations and are many dimensions large. While students should never have to expect with anything larger than 5 dimensions (R5 space), in real life, you might be dealing with problems which have 20 dimensions to them (such as in economics, where there are many variables). Linear algebra answers many questions. Some of these questions are: How many free variables do I have in a system of equations? What are the solutions to a system of equations? If there are an infinite number of solutions, how many dimensions do the solutions span? What is the kernel space or null space of a system of equations (under what conditions can a non-trivial solution to the system be zero?) Linear algebra is also immensely valuable when continuing into more advanced math topics, as you reuse many of the basic principals, such as subspaces, basis, eigenvalues and not to mention a greatly increased ability to understand a system of equations.
What are real life situations which are applications of linear equations?
Cell phone companies
what is the use of determinants in daily life?
Determunants simplified the rule for solving simultaneous linear equations.
Using linear equations in real life?
I image you intends algebraic linear equations. A great number of problems in real life are mathematically model with algebraic linear equations like - Design of electronic filters for any application (smart-phones, stereo systems, radio systems, ....) - Optimization of the any problem that can be modeled with the so called simplex algorithm (commercial programs uses this set of linear equations to optimize management of a civil airplane company, of the production in a car factory, of the management of a warehouse and many other problems) - The determination of currents and voltages in an electrical circuit composed of resistances, inductive elements, capacitors and ideal amplifiers can be done by a system of algebraic linear equations; This is only a very limited set of examples. However in mathematics any equation, not only algebraic, but also integral, differential and so on, is called linear if the sum of two solutions is again a solution and the product of a solution by a number is again a solution. You can easily verify that it is true also for homogeneous algebraic equations (that is linear angebraic equations without the known term). For example if we have the two unknown x and y the equation 2x+y=0 is linear. As a matter of fact, since x=1, y=-2 is a solution and x=-2, y=4 is another solution, also the sum of the two solutions, that is x=-1, y=2 is another solution. If we adopt this extended definition, the quantum mechanical basic equations are linear, thus we can say that, up to the moment in which we do not consider cosmic bodies for whom gravity is important, the whole world is linear !!
What is model mathematically?
Creating an abstract system of equations which describes (and helps reasoning about) a real life system.
What is the first step in developing a system of equations from a real-life situation?
Defond your variables. (Saifoo.khan)
Where do you use formulating equations in life?
well, if you know all the formulating equations it will make you better at regular equations and regular equations can be used in everyday life
How can you use solving equations in real life?
School is part of real life... if you are using equations in school that is real.
What would we use system of equations for in real life?
Cindy and Dan together have 20 apples. Cindy has 2 more apples than Dan. How many apples does Dan have? That's just one of the many basic scenarios where a system of equations would come in handy.
How could linear equations help you in life?
In construction of a stair If 10 inches per step how many steps to go to a story up or about 10 foot 10 feet is 120 inches Slope is 10 inches 10x = 120 That is a linear equation you then solve in your head the answer is 13 steps
