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Homework Statement
Eq 1: (4.5 - V1)/470 = V1/680 + (V1-V2)/330
Eq 2: (V1-V2)/330 = V2/100 + (V2+7)/1000
Simultaneous equations are a system of equations that contain two or more variables. They are called "simultaneous" because they must be solved at the same time.
The purpose of solving simultaneous equations is to find the values of the variables that make all of the equations in the system true. This allows us to find the intersection point of two or more lines or curves on a graph.
There are several methods for solving simultaneous equations, including substitution, elimination, and graphing. The most common method is substitution, where one equation is solved for one variable and then that value is substituted into the other equation.
Yes, simultaneous equations can have any number of variables. However, the number of equations in the system must be equal to the number of variables in order for there to be a unique solution. Otherwise, there may be multiple solutions or no solutions at all.
Simultaneous equations are commonly used in physics, engineering, and economics to model and solve real-world problems. They can also be found in other fields such as chemistry, biology, and computer science.