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.
Tell whether the ordered pair (5, -5) is a solution of the system
The solution of a system of linear equations is a pair of values that make both of the equations true.
Plug your ordered pair into both of your equations to see if you get they work.
It's pretty much always the point of a line because the soulution of the system is always an ordered pair where the two or more lines intersect
When there is an ordered pair that satisfies both inequalities.
The solution to a system is an ordered pair (x,y) where the two lines intersect.
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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.
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.
The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.
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.
Tell whether the ordered pair (5, -5) is a solution of the system
The solution of a system of linear equations is a pair of values that make both of the equations true.
Plug your ordered pair into both of your equations to see if you get they work.
an ordered pair that makes both equations true
It's pretty much always the point of a line because the soulution of the system is always an ordered pair where the two or more lines intersect