It can mean anything depending upon from where the ordered pair has come.
On a graph, it represents a point which is 1 unit along the positive x-axis and 5 units up the positive y-axis. This point may line on a function (eg y = 5x, y = x + 4, y = x² - 2x + 6), or it may not (eg y = x).
A complex number x + yi can be represented as an ordered pair (x, y) meaning (1, 5) could represent the complex number 1 + 5i. The Argand diagram uses the x-y plane in such a manner to represent complex numbers with numbers along the x-axis being the real part and numbers along the y-axis being the imaginary part.
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The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
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Tell whether the ordered pair (5, -5) is a solution of the system
Although no incomplete ordered pairs have been shown they can be readily solved.If x + y - 1 = 0, then x = 1 - y, also y = 1 - x.From the above formulae for x and y then any omissions can be completed.EXAMPLE : complete the ordered pairs (1) (7, y) and (2) (x, -4)(1) y = 1 - x = 1 - 7 = -6 : The ordered pair is thus (7, -6)(2) x = 1 - y = 1 -(-4) = 5 : The ordered pair is thus (5, -4)
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