Number of Solutions for Systems of Linear Equations
same
Coinciding lines have the same slope and the ________ y-intercept.
10
Consider the following system of linear equations. I. 2x + 5y - 12 = 0 II. 4x + Cy - 9 = 0 For what value of C does the system have no solution?
24
Consider the following system of linear equations. I. 2x + 5y = 12 II. 4x + 10y = C For what value of C does the system have infinitely many solutions?
infinitely many
Consider the following system of linear equations. I. 2x - 3y + 4 = 0 II. 4x - 6y + 8 = 0 How many solutions are there? (one / none / infinitely many)
one
Consider the following system of linear equations. I. 2x - y = 8 II. 4x + 6y = 13 How many solutions are there? (one / none / infinitely many)
none
Consider the following system of linear equations. I. 6y = 12 - x II. x + 6y - 20 = 0 How many solutions are there? (one / none / infinitely many)
none
Consider the following system of linear equations. I. x = 4 II. x + 5 = 0 How many solutions are there? (one / none / infinitely many)
one
Consider the following system of linear equations. I. x = 5 II. y = 2 How many solutions are there? (one / none / infinitely many)
infinitely many
Consider the following system of linear equations. I. y - 7 = 6 II. y - 8 = 5 How many solutions are there? (one / none / infinitely many)
infinitely
Given a system of two linear equations, if the lines are coinciding (over-lapping), there are ___________ many solutions.
no
Given a system of two linear equations, if the lines are parallel, there is ____ solution.
one
Given a system of two linear equations, if the lines have different slopes, there is ____ solution.
infinitely many
How many solutions are there to the following equation. 3x - 7y = 15 (one / none / infinitely many)
different
Parallel lines have the same slope but _____________ y-intercepts.
one
Suppose two investments earn the same rate of interest. Which one of the following is not a possible number of solutions for the linear system representing the investments over time? (one / none / infinitely many)
TRUE
Two lines, each with a different slope, can have the same y-intercept. TRUE or FALSE
