Respuesta :
Answer:
Step-by-step explanation:
One of the more obvious "connections" between linear equations is the presence of the same two variables (e. g., x and y) in these equations.
Assuming that your two equations are distinct (neither is merely a multiple of the other), we can use the "elimination by addition and subtraction" method to eliminate one variable, leaving us with an equation in one variable, solve this 1-variable (e. g., in x) equation, and then use the resulting value in the other equation to find the value of the other variable (e. g., y). By doing this we find a unique solution (a, b) that satisfies both original equations. Not only that, but also this solution (a, b) will also satisfy both of the original linear equations.
I urge you to think about what you mean by "analyze connections."
The existence of the same 2 factors (x,y), in these solutions, is by far the most obvious connection between linear equations, and the further calculation can be defined as follows:
- Since neither of the two equations is a multiple of the other, we can use the elimination by addition and subtraction method.
- It is used to eliminate one variable, making it easy to solve the remaining equation, which is now in one variable (which is x).
- In this, we can easily find out but then put a certain variable into any equation to find out the value of the second variable, which is y.
- It allows us to identify a unique solution (a,b) that solves both original equations therefore, this solution (a,b) will satisfy both the original system of equations.
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