There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
There are infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)
13
(-4,3)
(-4, -6)
There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
x = 2 and y = -4
x = 5 and y = 4
There are infinitely many ordered pairs: each point on the straight line defined by the equation is an ordered pair that is a solution. One example is (0.5, 2.5)
10
An ordered pair is a solution only of a linear equation in two variables - not any linear equation. Often the variables are denoted by x and y. If the first of the ordered pair is substituted for x in the equation, and the second for y, then the equation represents a true statement.
X and Y stand for the x and y of an ordered pair. You could plug in the coordinate for x.
13
(-4,3)
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.
(-4, -6)
The ordered pair is (1, 3).