PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

Front

If a system of equations has no solution, what does the graph look like?

Back

parallel lines

Front

If a system of linear equations has one solution, what does this mean about the two lines?

Back

Intersecting lines

Front

If a pair of linear equations is consistent, then the lines will be:

Back

intersecting or coincident

Front

For what value of k, do the equations 3x – y + 8 = 0 and 6x – ky = –16 represent coincident lines?

Back

2

Front

The equations 4x + 3y – 1 = 5 and 12x + 9y = 15 represent 

Back

No  solution

Front

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system of equations can be used to figure out how many of each animal the farm has?

Back

d + c = 50, 4d + 2c = 174

Front

What is the solution to a system of equations?

Back

The point that the equations have in common and the point where the two lines intersect.

Front

The ordered pair that satisfies (makes them true) all equations in the system is called a ________________.

Back

solution of a system

Front

What is the solution?

Back

(1, -1)

Front

The pair of linear equations 3x + 5y = 3 ; 6x + ky = 8 do not have any solutions if:

Back

k = 10