How do you find the ordered pair that satisfies the 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.

Does 5x 2y =- 7 have a solution?

The equation 5x + 2y =7 can have infinitely many solutions as for any value of x, there will be a corresponding value of y satisfying the equation (which can be observed from the rewritten form).

What is an ordered pair that satisfies both 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.

How do I find ordered pairs?

Ordered pairs are often used to represent two variables. When we write (x, y) = (7, – 2), we mean x = 7 and y = – 2. The number which corresponds to the value of x is called the x-coordinate and the number which corresponds to the value of y is called the y-coordinate.

What are ordered pairs math?

In mathematics, an ordered pair (a, b) is a pair of objects. The order in which the objects appear in the pair is significant: the ordered pair (a, b) is different from the ordered pair (b, a) unless a = b. Cartesian products and binary relations (and hence functions) are defined in terms of ordered pairs.

How many solutions of the linear equation 3x − 2y 7 is possible?

So the four solutions are: (0,-7/2), (1,-2), (2,-1/2), (-1,-1/5) and there can be infinite solutions.

What is the gradient of the line 5x 2y 7?

Rewrite in slope-intercept form. Using the slope-intercept form, the slope is 52 .

What is a ordered pair function?

A function is a set of ordered pairs in which no two different ordered pairs have the same x -coordinate. An equation that produces such a set of ordered pairs defines a function. The inputs that make “sense” form the domain of the function, and the answers or outputs form the range .

What is ordered pair form?

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.