0

# What does it mean both algebraically and graphically when an ordered pair is a solution to a system of two linear equations?

Wiki User

2010-03-24 01:58:03

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.

Wiki User

2010-03-24 01:58:03
🙏
0
🤨
0
😮
0
Study guides

20 cards

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

➡️
See all cards
3.72
373 Reviews

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?
Submit
Still have questions?

View results

View results

View results

View results