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What is a method for solving a system of linear equations in which you multiply one or both equations by a number to get rid of a variable term?
It is called solving by elimination.
When solving a system of equations by elimination you find what?
You find a solution set. Depending on whether the equations are linear or otherwise, consistent or not, the solution set may consist of none, one, several or infinitely many possible solutions to the system.
What are the two methods in solving 2 unknowns?
By substitution or elimination in simultaneous equations.
State two methods of solving simultaneous equations?
The elimination method and the substitutionmethod.
When solving a system of equations by elimination What would you want to get?
The coordinates (x,y). It is the point of intersection.
Why preferred standard form?
Standard form for equations of two variables is preferred when solving the system using elimination.
How did the system of equations develop?
The system of equations developed from the early days with ancient China playing a foundational role. The Gaussian elimination was initiated as early as 200 BC for purposes of solving linear equations.
Solve the system using elimination 3x -9y equals 3?
Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
Is The elimination method is useful when you can eliminate one of the variable terms from an equation by adding or subtracting another equation?
Yes, for solving simultaneous equations.
Can you solve the system using elimination 3x plus 9y equals 3?
No. Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
The ELIMINATION method performs operations on a system of equations to?
Simultaneous equations can be solved using the elimination method.
What is the consistent equation in mathematics?
Consistent equations are two or more equations that have the same solution.
