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SYSTEMS EQUATIONS, image, image, image - Coggle Diagram
SYSTEMS EQUATIONS
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Example:
Simultaneous equations (also called systems equations) are two equations, each with the same two unknowns and are "simultaneous" because they are solved together.
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Example:
To know if the work is well done we can verify in desmos by putting the equations and seeing the values you get. We can also substitute for the values given in the equations and see if we get the same result.
The elimination method is where you actually eliminate one of the variables by adding the two equations. In this way, you eliminate one variable so you can solve for the other variable. In a two-equation system, since you have two variables, eliminating one makes the process of solving for the other quite easy.
To know if the work is well done we can verify in desmos putting the equations. You can also verify if it is well done by putting the values of the variables in only one equation and if the two sides give you the same that means that it is well done.
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No solution
The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.
Infinite solution
The system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept. If the two lines have the same y-intercept and the slope, they are actually in the same exact line.
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