Wilmer said:a=1, b=1, c=1
a=-1, b=-1, c=-1
Wilmer said:a=1, b=1, c=1
a=-1, b=-1, c=-1
A system of equations is a set of two or more equations that involve the same variables. The solution to a system of equations is the values of the variables that make all of the equations true simultaneously.
Solving systems of equations is important because it allows us to find the relationship between multiple unknown quantities. This is especially useful in real-world situations where there are multiple variables that are dependent on each other.
There are several methods for solving systems of equations, including substitution, elimination, and graphing. Each method has its own advantages and can be used depending on the type of equations and the given information.
A system of equations has a solution if the equations intersect at a single point, meaning there is one unique solution for the variables. If the equations are parallel, there is no solution, and if the equations are identical, there are infinitely many solutions.
Some common mistakes when solving systems of equations include not properly distributing negative signs, making errors in arithmetic, and forgetting to check for extraneous solutions. It is important to carefully check each step and always verify the final solution.