Special Linear Systems

What is the solution to this equation?

• one solution

• no solution

• infinite solutions

• none of these

• Substitution method

• Elimination method

• Graphing

• Any method would be equally efficient

Problem #18 b

MONEY: You and a friend both work two different jobs. The system of linear equations represents the total earnings for x hours worked at the first job and y hours worked at the second job. Your friend earns twice as much as you.

b. Both of you work the same number of hours at the second job. Compare the number of hours each of you works at the first job.

• You both work a different number of hours at the first job.

• You both work the same number of hours at the first job.

• One of you worked the first job, while the other worked the second job.

Let x and y be two numbers. Find the solution of the puzzle.

• one solution

• no solution

• infinitely many solutions

Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution.

• one solution

• no solution

• infinitely many solutions

Without graphing, determine whether the system of linear equations has one solution, infinitely many solutions, or no solution. Explain your reasoning.

• The lines have the same slope and different

  y-intercepts.

• The lines have different slopes.

• The lines have different slopes and the same y-intercept.

Problem #14

ERROR ANALYSIS: Correct the error in solving the system of linear equations.

• one solution

• no solution

• infinitely many solutions

Problem #14

ERROR ANALYSIS: Describe the error in solving the system of linear equations.

• The lines have different y-intercepts, so the lines are parallel.

• The lines have different slopes.

• The lines have the same slope and the same y-intercept.

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?

• one solution

• no solution

• infinitely many solutions