If you mean: 3x-4y = 19 and 3x-6y = 15 Then: x = 9 and y = 2
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.
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.
y=3x
There are an infinite number of ordered pairs that satisfy the equation.
Tell whether the ordered pair (5, -5) is a solution of the system
If you mean: 3x-4y = 19 and 3x-6y = 15 Then: x = 9 and y = 2
Plug your ordered pair into both of your equations to see if you get they work.
an ordered pair that makes both equations true
Any ordered pair that makes the set true
When there is an ordered pair that satisfies both inequalities.
No, this is not necessarily the case. A function can have an infinite range of solutions but not an infinite domain. This means that not every ordered pair would be a solution.
True. That's a way of representing the solution.
Substitute the values of the ordered pair into the relation. If the equation is valid then the ordered pair is a solution, and if not then it is not.
That would be the "solution" to the set of equations.
The solution to a system is an ordered pair (x,y) where the two lines intersect.
This is a linear algebra question and it is incomplete since there are no equation which have to be solved.