answersLogoWhite

0


Best Answer

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.

User Avatar

Wiki User

โˆ™ 2010-03-24 01:58:03
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides

Algebra

20 cards

A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

โžก๏ธ
See all cards
3.72
โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…โ˜†โ˜…
373 Reviews

Add your answer:

Earn +20 pts
Q: What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

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

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


What is a solution to a system?

an ordered pair that makes both equations true


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.


Which ordered pairs is a solution of the given system of linear equations?

That would depend on the given system of linear equations which have not been given in the question


What is the solution to a linear equation?

The solution to a system on linear equations in nunknown variables are ordered n-tuples such that their values satisfy each of the equations in the system. There need not be a solution or there can be more than one solutions.


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

7


Malique solved the system of equations below and found that x 5 which ordered pairs is the solution to the system?

That of course will depend on what system of equations are they which have not been given


How do you order linear equations?

Equations cannot be ordered.


Type the ordered pair that is the solution to these equations.2x - 3y = 7-3x + y = 7?

(-4,-5)


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.


What is the ordered pair the is th solution to these equations x equals 5y and 2x - 3y equals 14?

(10, 2)


The ordered pair below is a solution which equation?

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.


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)


Is the ordered pair 0 -6 solution for y5x-7?

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.


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)


How many solutions does the system of linear equations shown have?

As there is no system of equations shown, there are zero solutions.


What is the system of equations and enter the solution as an ordered pair 4x 7y equals 47 5x-4y equals -5?

Do you mean: 4x+7y = 47 and 5x-4y = -5 Then the solutions to the simultaneous equations are: x = 3 and y = 5


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


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 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 are the ordered pairs of x4y and 3x-2y20?

there are none, ordered pairs come from equations like x = 2y -5

People also asked

Solve the system of equations below by graphing them with a pencil and paper Enter your answer as an ordered pair?

View results

Solving the system of equations by graphing?

View results

What types of lines would be the result of an inconsistent system of equation?

View results

What is an expression with an exponent that has a value between 0 and 1?

View results