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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.

Q: What is the ordered pair to 2x-5y equals -1?

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y=(-1) x=(2)

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)

Any ordered pair in the third quadrant has negative x and y values. So (-1,-1), for example, is the third quadrant.

The rule for a set of ordered pairs is the statement that states the relationship of of a certain value to another value.For example:given the set of ordered pair { (1,2) , (3,4) , (5,6) , (7,8) }we notice that the value of y is increased by 1 as the value of x varies.For instance, in the first ordered pair which is (1,2) where 1 is x and 2 is y such that (x,y), 1 increased by 1. In other words, x is increased by 1.So we say that the rule of the ordered pair is:{(x,y) | y = x + 1 }read as "The set of ordered pairs such that y is equal to x plus one"

1/8

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(1,-2)

y=(-1) x=(2)

x = -6 y = -11

1

These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the ordered pair is - not are : (0.5, -1)

1. x + y = 62. -x + 3y = -2Adding 1. to 2. gives:3. 4y = 4y = 1Substitutuing y = 1 into 1. gives:x + 1 = 6x = 5Writing our ordered pair in the form of (x,y) we have (5, 1).