Table of Contents
What is an ordered pair in a equation?
An ordered pair is often used to represent a point on a coordinate plane or the solution to an equation in two variables. y=x−3 , and plot the point on the coordinate plane. The ordered pair (5,2) works, since 2=5−3 .
What do we call the answer for the ordered pair of a system of equations?
Ordered pairs (x,y) that work in both equations are called solutions to the system of equations. They represent the intersection points of the two lines. Thus a system has one solution, no solutions, or infinitely many solutions.
What ordered pair is a solution to?
To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
What makes an ordered pair?
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. The numeric values in an ordered pair can be integers or fractions.
Which of the following is ordered pair?
Answer: 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).
How do you determine if an ordered pair is a solution to an equation?
To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.
How to write an ordered pair?
P = (6,4)
How do you find ordered pairs of an equation?
To find ordered pairs, make a table with two columns. Label one column x and the other column y. Then pick a value for x and solve for y using the given equation. Write both numbers in the correct column in the a row on the table. Now pick other values for x and solve for y. Each pair of (x,y) in each row is an ordered pair.
Which ordered pair is the solution to the system?
The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently . In this example, the ordered pair (4,7) ( 4, 7) is the solution to the system of linear equations. We can verify the solution by substituting the values into each equation to see if the ordered pair satisfies both equations.