algebra
posted by anonymous .
Explain (in 3 or more sentences) how you can tell if a system of two linear equations has 0, 1, or infinitely many solutions. Be sure to say how the lines are not related and give specific examples of each.
ok, I think it might be:
A system of two linear equations has one ordered pair if the lines intersect. It has no ordered pairs if the two lines do not intersect. It has an infinite number of ordered pairs if the two lines are the same.
Is this right? Is there anything else I need to add?
Now I just need to give specific examples of each... so do I need to make up 3 problems and then graph them?
No. If they never meet, there is no solution. If they cross at one point, one solution. If the lines are colinear(that is the same line), the solutions are infinite.
What are some facts about linear lines
?
Respond to this Question
Similar Questions

algebra 1
Got a test tomorrow... Say you have a system of equations (linear), that you can solve using substitution, graphing, or elimination. Without solving the equations, can you tell if there is one solution, many solutions, or no solution? 
Algebra
When equations have infinitely many solutions, How would you know this? 
algebra
5x=7+4y 20x16y=28 how many solutions are there for the system of equations? 
MATH HELP
The south edmonton pet shop has several parrots and dogs for sale. There are a total of 24 heads and 82 legs in the display cages. A) Write a system of linear equations to represent the number of parrots, p, and the number of dogs, … 
Algebra
Suppose a linear system of equations has 2012 equations and 2013 unknowns. Answer the following questions: Can the system be inconsistent? 
Algebra
How many solutions does this system of equations have? 
Linear Algebra
I need help please!! How many solutions does the system of equations have? 
Linear algebra
Consider for every real number a the linear system of equations: { x +( a + 1 )y + a^2 z = a^3 { ( 1  a )x +( 1  2a )y = a^3 { x +( a + 1 )y + az = a^2 b)Find the values of a for which the system has no solution, infinitely many … 
Math
1. How many solutions does the system of equations have 3x=12y+15 and x+4y=5 a. one b. two c. infinitely many*** d. none 2. How many solutions does the system of equations have y=6x+2 and 3y18x=12 a. one b. two c. infinitely many … 
Math
1.How many solutions does the system of equations have?