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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To determine the ordered pair in the solution set of the equation (3x - y = 10), you can rearrange it to (y = 3x - 10). Any ordered pair ((x, y)) that satisfies this equation will be part of the solution set. For example, if you choose (x = 4), then (y = 3(4) - 10 = 2), so the ordered pair ((4, 2)) is in the solution set.
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 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.
Ordered Pair * * * * * An ordered SET. There can be only one, or even an infinite number of variables in a linear system.
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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.
To determine the ordered pair in the solution set of the equation (3x - y = 10), you can rearrange it to (y = 3x - 10). Any ordered pair ((x, y)) that satisfies this equation will be part of the solution set. For example, if you choose (x = 4), then (y = 3(4) - 10 = 2), so the ordered pair ((4, 2)) is in the solution set.
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.