An ordered pair or coordinates of a point in 2-dimensional space.
It is a linear equation in two variables, x and y. Any point on the line defined by the equation will satisfy the equation and conversely, any ordered pair that satisfies the equation will represent a point, in the Cartesian plane, will be on the line.
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The solution set for a linear equation in two variables comprises an infinite number of ordered pairs, and these are defined by the equation that appears in the question!
an ordered pair
An ordered pair or coordinates of a point in 2-dimensional space.
Substitute the values for the two variables in the second equation. If the resulting equation is true then the point satisfies the second equation and if not, it does not.
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.
It is a linear equation in two variables, x and y. Any point on the line defined by the equation will satisfy the equation and conversely, any ordered pair that satisfies the equation will represent a point, in the Cartesian plane, will be on the line.
A solution of a linear equation is called a root or a solution. It is a value that satisfies the equation when substituted back into it.
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It is a linear equation in the two variables x and y. A single linear equation in two variables cannot be solved for a unique pair of values of x and y. The equation is that of a straight line and any point on the line satisfies the equation.
The solution set for a linear equation in two variables comprises an infinite number of ordered pairs, and these are defined by the equation that appears in the question!
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an ordered pair
When there is an ordered pair that satisfies both inequalities.
There is not "the ordered pair" but infinitely many ordered pairs which, taken together, comprise the straight line defined by the equation.