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The ordered pair (0, -6)
Ordered pairs look like (x, y). they are the coordinates of a point on your graph.
Asking if (0,6) is a solution to your equation means, does this point lie on the graph?
Or algebraically, if you substitute in x = 0 and y = -6 into the equation, does it work?
y = 5x-7
-6 = 5(0) -7
-6 = 0 - 7
-6 = -7
Well, -6 does NOT = -7, so we know that this ordered pair is not a solution to the function.
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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.
The ordered pair 2 16 is a solution for which of the following equations?
y = (x + 2)2 andy = (2x)2(x-2)2 + (y-16)2 = 0
What does the ordered pair 0 0 mean?
It refers to the origin in cartesian coordinates (e.g. (0, 0) ) Also means that x=0, y=0.
An ordered pair that has an x value of zero would be graphed on what axis?
x = 0 is the y-axis
Which ordered pair is a solution to the equation y - 2x 6?
For example, if you have (0, 6) or (3, 1). Which of them is a solution to y - 2x = 6? Check (0, 6): y - 2x = 6, substitute 0 for x, and 6 for y into the equation 6 - 2(0) =? 6 6 - 0 =? 6 6 = 6 True, then (0, 6) is a solution. Check (3, 1): y - 2x = 6, substitute 3 for x, and 1 for y into the equation 1 - 2(3) =? 6 1 - 6 =? 6 -5 = 6 False, then (3, 1) is not a solution.
What is the solution for the ordered pair (04)?
One possible solution is x2 + (y - 4)2 = 0.
What is the ordered pair to 2x-5y equals -1?
The equation 2x-5y=-1 has a graph that is a line. Every point on that line is an ordered pair that is a solution to the equation. So pick any real number x and plug it in. You will find a y and that pair (x,y) is an ordered pair that is a solution to this equation. For example, let x=0 Then we have -5y=-1so y=1/5 The ordered pair (0, 1/5) is a point on the line and a solution to the equation.
Which ordered pair is a solution to the equation y equals 2.5x plus 6.5?
(0, 6.5) is one option.
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.
What ordered pair is a solution to the equation y equals 7x-5?
12
Why do we use the terms ordered and ordered pair?
The pair (2, 3) is the same as the pair (3, 2) but the ORDERED pair (2, 3) is NOT the same as the ORDERED pair (3, 2). In an ordered pair the order of the numbers does matter.
What is the point of origin in an ordered pair?
The origin, in the Cartesian coordinate system, is the point with coordinates (0, 0). So, if you have another ordered pair, the ordered pair doesn't "have an origin"; rather, the origin is another point.
Which ordered pair is a solution of the equation 4x-2y equals 16?
4x-2y=16 has the solution points (0,-8) and (4, 0) at the coordinate axes, and wherever y= 4(x-4).
Complete the ordered pair for the equation y equals -9x plus 6 if the ordered pair is 0commablank?
(0, 6)
Choose the ordered pair that is a solution to the system of equations -x plus y equals 12?
-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.
Which ordered pair is located in Quadrant II?
Any with x < 0 and y > 0
Find the ordered pairs that are both solutions of -4y equals x.?
-4y=x is the equation of a line and has infinite solutions. Each solution is an ordered pair. We usually write this as (x,y). It is called an ordered pair because we cannot exchange the x and y in general. So (x,y) does not generally equal (y,x).Now in this case, pick any value for x, say 0, and y is 0. The solution (0,0) is one ordered pair.Now, take x=1 and y=-1/4. So (1, -1/4) is another solution.
