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Q: What is the ordered pair the is th solution to these equations x equals 5y and 2x - 3y equals 14?
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What is the ordered pair for the equations y equals 2x plus 1 and y equals -x plus 4?

The ordered pair is (1, 3).


What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?

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.


How is a system of 2 linear equations have no solution?

The pair of equations: x + y = 1 and x + y = 3 have no solution. If any ordered pair (x,y) satisfies the first equation it cannot satisfy the second, and conversely. The two equations are said to be inconsistent.


Which ordered pair is a solution of y equals -3x plus 11?

There are an infinite number of ordered pairs that satisfy the equation.


What is X plus y equals 120 x plus y equals 150?

It's an inconsistent pair of equations, for which there is no solution.