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.
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)
9
(1,5) 1 comma 5
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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It could be but more details are required.
The pair (2, 3) is the same as the pair (3, 2) but the ORDERED pair (2, 3) is NOT the same as the ORDERED pair (3, 2). In an ordered pair the order of the numbers does matter.
If you mean: 2y+5x = 13 and 2y-3x = 5 then it works out that x = 1 and y = 4
If you mean: -x+2y = 5 and x+y = 1 then their values are x = -1 and y = 2
An ordered pair is a list of two numbers, in which the order matters. For example, (5, 2) is an ordered pair; this pair is not the same as (2, 5). For comparison, for the numbers in a set the order does not matter.
Tell whether the ordered pair (5, -5) is a solution of the system
5x=4y=-20 x=-4 y=-5 (-4,-5) is the ordered pair
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)
To find the ordered pairs in any equation, just plug in any number for x and solve for y. If your equation is meant to be y=1+5x, then if x=0 then y=1+5*0, y=1 so the first ordered pair would be (0,1) If your equation is meant to be y=(1/5)x, then if x=0 then y=(1/5)*0, y=0, so the first ordered pair would be (0,0)