mech-eng said:The term simultaneous in simultaneous linear equations does not make sense to me? Would you explain the what simultaneous mean there?
Example: "We have all solved simultaneous linear equations - for example,
2x + y = 4
x - 2y = -3 "
Source: Linear Algebra by Fraleigh/Beauregard.
Thank you.
Simultaneous linear equations are equations that contain two or more variables and can be solved simultaneously to find the values of those variables that satisfy all the equations.
To solve simultaneous linear equations, you can use different methods such as substitution, elimination, or graphing. The method you choose will depend on the specific equations and your personal preference.
Yes, simultaneous linear equations can have any number of variables. However, they must still have the same number of equations in order to be solved.
Solving simultaneous linear equations is important in many real-world applications, such as finding the optimal solution to a system of equations or modeling relationships between variables in science and economics.
Yes, there are some shortcuts for solving simultaneous linear equations, such as using the determinant method or using matrices. These methods can be especially useful when dealing with larger systems of equations.