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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.

Related questions

What is the solution of the system of linear equations x equals 5 y equals -2?

7


How can you determine if the given ordered pair is a solution to the system of equations?

Plug your ordered pair into both of your equations to see if you get they work.


What is the ordered pair that is the solution to these equations 3x - 2y equals 8 2x plus 5y equals -1?

y=(-1) x=(2)


When is it possible for an ordered pair to be the solution of more than one equation?

Always. Every ordered pair is the solution to infinitely many equations.


What is a solution to a system?

an ordered pair that makes both equations true


What is an ordered pair that makes all equations in a system true?

That would be the "solution" to the set of equations.


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).


6x - 6y plus 11 equals 17 9y equals 3x plus 15 Solve the system of equations and enter the solution as an ordered pair?

(0,7)


Describe a consistent independent system of linear equations?

The pair of equations have one ordered pair that is a solution to both equations. If graphed the two lines will cross once.


Determine if the ordered pair y3x 5 yx 9 211 isa solution to the system of equations?

Tell whether the ordered pair (5, -5) is a solution of the system


What ordered pair is the solution set for the system of equations below 2x plus y equals 18 x-y equals -6?

x = -3/5 and y = -24/5


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.