# algebra

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
?

1. 👍
2. 👎
3. 👁

## Similar Questions

1. ### Algebra 1

1.) Which best describes a system of equations that has no solution? A. Consistent, independent B. inconsistent, dependent C. consistent, dependent D. inconsistent** 2.) How many solutions does this system have? 2x+y=3 6x=9-3y A.

2. ### math

If you try to solve a linear system by the substitution method and get the result 0 = 8, what does this mean? A. The system has one solution, (0,8). B.The system has one solution, (8,0). C.The system has no solutions. D.The system

3. ### Math

One equation in a system of linear equations has a slope of -3. the other equation has a slope of 4. how many solutions does the system have? explain

Write an equation that forms a system of equations with x + y = 4, so that the system has: a) No solution b) Infinitely many solutions c) One solution I know how to figure out if two linear systems have a solution, but I don't

1. ### linear algebra

The reduced row-echelon form of the augmented matrix for a system of linear equations with variables x1, ... , x5 is given below. Determine the solutions for the system and enter them below. 1 0 0 -3 -3 = 4 0 1 0 -2 -5 =-1 0 0 0 0

2. ### Science

A model shows that the moon has grown to twice its size, yet it has remained in the same place. In one to two sentences, explain how this would impact the gravity between Earth and the moon.(2 points)

3. ### math

These statements describe a solution region for a system of linear inequalities: The intersections of its three boundaries are at (0, 4), (6, 1), and (0, -2). The boundary that is farthest left is dashed and vertical, and it

4. ### Math

Use linear combinations to solve the system of linear equations. 5x=4y-30 2x+3y+-12

1. ### Algebra

Is it possible to find a value for c so that the linear system below has exactly one solution? Explain. 5x+3y= 21 Equation 1 y= -5/3x+c Equation 2

2. ### physics

Why is Newton’s cradle (Newton’s balls) described as an “almost-ideal” closed system? Explain your reasoning in one or two sentences

3. ### 9th grade math (algebra 1)

Fine the solution set of each system of linear equations or inequalities below by graphing. Show all work under the graph of each system. 1. x + y = 3 2x - 2y = 6

4. ### Math

Explain how solving a linear inequality is similar to solving a linear equation. Explain how solving a linear is different from solving a linear equation.