Solutions to Equations in Two Variables

If the lines given by 3x+2ky =2 and 2x+5y+1= 0 are parallel then the value of k is _______

The graphs of the equations 2x+3y-2=0 and x-2y-8=0 are two lines which are_______

• Coincident

• Parallel

• Intersecting exactly at one point

• Perpendicular to each other

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

• intersecting lines

• parallel lines

• Perpendicular lines

• coincident lines

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

• 1/2

• −1/2

• 2

• −2

A solution to a

system of linear equations

with two variables

is written as an ordered pair

( x, y ).

• True

• False

A solution to a system

of two linear equations

in two variables

must make BOTH

equations TRUE.

• False

• True

For what values of a and b does the following pair of equations have an infinite numbers of solutions. 2x+3y=7, a(x+y)-b(x-y)=3a+b-2

• a = 5, b = - 1

• a = - 5, b = 5

• a = 5, b = 1

• a = 1, b = 5

For what value of k will the following equations have infinitely many solutions? 2x-3y=7, (k+1) x+ (1-2k) y=5k-4

• 1

• 2

• 3

• 5

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

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

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

• Parallel lines

• the same line

• Intersecting lines