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

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an ordered pair that makes both equations true

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

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.

with ur partner

8

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

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.y = 2x + 5 x = 1

Any ordered pair that makes the set true

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

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

The ordered pair is (1, 3).

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.

2x+7y=29 x=37-8y

y=3x-4 y=-2x+1

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(2,1)

The solution of a system of linear equations is a pair of values that make both of the equations true.

15

These are equations of two straight lines. Provided the equations are not of the same or parallel lines, there can be only one ordered pair. So the ordered pair is - not are : (0.5, -1)

(0,7)

(2,3)

-x+y=12is the equation of a line and since there are infinitely many points on the line and each point is represented by an ordered pair, we have infinitely many solutions.If we take x as 0, then y must be 12so (0,12) is one ordered pair that is a solution to the equation.Zero is often a nice number to pick since it makes the calculation a bit easier.

I'm guessing that you're looking at an ordered pair AND a list of equations. Since I can't see either of them, my chances of matching them up are not looking too promising.

It deals with lines on a graph, part of an ordered pair ,a steady increase in resultant answer