Plug your ordered pair into both of your equations to see if you get they work.
Tell whether the ordered pair (5, -5) is a solution of the system
That would be the "solution" to the set of equations.
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.
The solution of a system of linear equations is a pair of values that make both of the equations true.
Tell whether the ordered pair (5, -5) is a solution of the system
That would be the "solution" to the set of equations.
an ordered pair that makes both equations true
That would depend on the given system of linear equations which have not been given in the question
The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.
That of course will depend on what system of equations are they which have not been given
If an ordered pair is a solution to a system of linear equations, then algebraically it returns the same values when substituted appropriately into the x and y variables in each equation. For a very basic example: (0,0) satisfies the linear system of equations given by y=x and y=-2x By substituting in x=0 into both equations, the following is obtained: y=(0) and y=-2(0)=0 x=0 returns y=0 for both equations, which satisfies the ordered pair (0,0). This means that if an ordered pair is a solution to a system of equations, the x of that ordered pair returns the same y for all equations in the system. Graphically, this means that all equations in the system intersect at that point. This makes sense because an x value returns the same y value at that ordered pair, meaning all equations would have the same value at the x-coordinate of the ordered pair. The ordered pair specifies an intersection point of the equations.
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
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You substitute the coordinates of the point in the equation. If the result is true then the point is a solution and if it is false it is not a solution.
there is no linear equations that has no solution every problem has a solution
A system of equations with exactly one solution intersects at a singular point, and none of the equations in the system (if lines) are parallel.