Is it possible for an ordered pair to satisfy both equations?
There are three ways to solve a system of linear equations: graphing, substitution, and elimination. The solution to a system of linear equations is the ordered pair (or pairs) that satisfies all equations in the system. Two equations that actually are the same line have an infinite number of solutions.
How do you tell if ordered pairs satisfy a linear function?
To find out whether an ordered pair is a solution of a linear equation, you can do the following:
- Graph the linear equation, and graph the ordered pair. If the ordered pair appears to be on the graph of a line, then it is a possible solution of the linear equation.
- Substitute the (x, y) values into the equation.
Which is the single ordered pair of variables that satisfy a system of linear equations?
Given a linear system with two equations and two variables, a solution is an ordered pair that satisfies both equations and corresponds to a point of intersection. Used when referring to a solution of a system of equations.
What is the equation of a line on a graph?
The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
What is an example of an ordered pair?
An ordered pair is a pair of numbers in a specific order. For example, (1, 2) and (- 4, 12) are ordered pairs. The order of the two numbers is important: (1, 2) is not equivalent to (2, 1) — (1, 2)≠(2, 1).
What is an ordered pair on a graph?
An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The point where the two lines meet at “0” is the origin.