0
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
Still curious? Ask our experts.
Chat with our AI personalities
Devin
Maxine
ReneAdd your answer:
Earn +20 pts
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
