What do you call the solution to a system of linear equations in two variables that makes both equations true?
To solve a system of two linear equations, we want to find the values of the variables that are solutions to both equations. In other words, we are looking for the ordered pairs (x,y) that make both equations true. These are called the solutions of a system of equations.
What ordered pair is a solution to the system of linear equations?
The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system. The solution is the ordered pair(s) common to all lines in the system when the lines are graphed. Lines that cross at a point (or points) are defined as a consistent system of equations.
What do you call to a system of equations of two variables is an ordered pair that makes all the equations true?
These are called the solutions of a system of equations. To determine if an ordered pair is a solution to a system of two equations, we substitute the values of the variables into each equation. If the ordered pair makes both equations true, it is a solution to the system.
How do you find the ordered pair solution of a linear equation in two variables?
Definition of a Linear System with Two Variables
To check that an ordered pair is a solution, substitute the corresponding x- and y-values into each equation and then simplify to see if you obtain a true statement for both equations.