There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.
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)
To find the ordered pair for the expression ( y - x - 5 = yx + 1 ), we need to rearrange the equation. This can be rewritten as ( y - yx = x + 6 ) or ( y(1 - x) = x + 6 ). Solving for ( y ) gives ( y = \frac{x + 6}{1 - x} ). The ordered pair would depend on specific values of ( x ) and ( y ) that satisfy this equation. For example, if ( x = 0 ), then ( y = 6 ), yielding the ordered pair (0, 6).
13
(-4,3)
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.
To find the ordered pair for the expression ( y - x - 5 = yx + 1 ), we need to rearrange the equation. This can be rewritten as ( y - yx = x + 6 ) or ( y(1 - x) = x + 6 ). Solving for ( y ) gives ( y = \frac{x + 6}{1 - x} ). The ordered pair would depend on specific values of ( x ) and ( y ) that satisfy this equation. For example, if ( x = 0 ), then ( y = 6 ), yielding the ordered pair (0, 6).
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)