 ### Solving Systems of Equations Answer KeyPlay This Game

 Solution or Not? #1 Is this ordered pair a solution of x-y = -3 and 2x + y = 0 (-1, 2) Yes #2 Is this ordered pair a solution of x=2y+1 and y=x (-1, -1) Yes #3 Is this ordered pair a solution of 4x-y=-3 and 3y-6x=6 (2,11) No #4 What does it mean if (3,2) is a solution of y=x-1 and y=-x+5 (3,2) is where the lines intersect #5 Tell whether (-5, -6) is a solution of x-2y = 7 and y-x=2 No
 Solving Systems by Graphing #1 Solve y=x-3 and y=-x+5 by graphing (4,1) #2 Solve 4x+y=-1 and y-4=x by graphing (-1, 3) #3 Solve y-2=1/3x and 3y=-2x-3 by graphing (-3, 1) #4 Solve y-3x =2 and y= -2x-8 by graphing (-2, -4) #5 Solve y-5 = -1/2x and x=y-2 by graphing (2, 4)
 Solving Systems by Substitution #1 Solve y=x +1 and x + y = 7 by substitution (3, 4) #2 Solve y=x+3 and 2x+y=9 by substitution (2, 5) #3 Solve y-2=3x and 3x-2y= -13 by substitution (3, 11) #4 Solve 3x - 2y = 4 and x + 4y = 34 by substitution (6, 7) #5 Solve 3y -4x = 29 and 2y + 5x = 4 by substitution (-2, 7)
 Special Cases #1 What is the solution of -4x + y =1 and 2y - 2 = 8x Infinitely Many Solutions #2 What is the solution of 8y - 6x = 48 and 2y = 3/2 x -12 No Solution #3 What is the solution of y = 2/3x +7 and 3y = 2x - 3 No Solution #4 What is the solution of 5y - 4x = -5 and 10y + 10 = 8x Infinitely Many Solutions #5 How many solutions does y = -6x + 10 and y = -6x + 3 have 0 solutions
 Word Problems #1 Leslie joins a fitenss club that has a membership fee of \$20 plus \$15 per month. Rashad's club has a fee of \$40 and charges \$10 per month. In how many months will the two clubs cost the same? 4 months #2 Tank A contains 35 gallons of water and is increasing at a rate of 5 gallons per minute. Tank B contains 100 gallons of water and is decreasing at a rate of 8 gallons per minute. In how many minutes will the tanks contain the same amount of water? How much water will that be? 5 min; 60 gal #3 Taxi company A charges \$4 plus \$0.50 per mile. Taxi company B charges \$5 plus \$0.25 per mile. Write a system of equations that could be used to represent this situation. y = 0.5 x + 4 and y = 0.25x + 5 #4 The sum of two numbers is 50. The first number is 43 less that twice the second number. Write and solve a system of equations to find the two numbers. x + y = 50 and x = 2y - 43 19 and 31 #5 Sally spent \$14.85 to by 13 flowers. She bought lilies, which cost \$1.25 and tulips, which cost \$0.90 each. How many of each flower did sally buy? 9 lilies, 4 tulips
 Final Question Matt has \$100 in a checking account and deposits \$20 per month. Ben has \$80 in a checking account and deposits \$30 per month. Will the accouonts ever have the same balance? Explain Yes, the graphs have two different slopes, so they will intersect