Mixed

How do you find the ordered pair that satisfies the equation?

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).

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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.

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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.