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

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Q: What is an ordered pair that makes all equations in a system true?
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What is a solution to a system?

an ordered pair that makes both equations true


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 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.


Solve the system of equations Enter your answer as an ordered pair?

with ur partner


What is any ordered pair that satisfies all the equations in a system?

8


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


Use the substitution method to solve the system of equations Enter your answer as an ordered pair?

Use the substitution method to solve the system of equations. Enter your answer as an ordered pair.y = 2x + 5 x = 1


The ordered pair below is a solution to which equation 4 12?

y=3x


How do we use substituion to solve a system of equations?

Write your answer as an ordered pair. y = -3 + 5x 3x - 8y = 24


Use the matrix tool to solve the system of equations Enter the answer as an ordered pair?

3x-8y=-1 -2x+6y=1


What is the solution to a two variable system?

Any ordered pair that makes the set true