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Solving Systems of Equations
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 Solution or Not? Solving Systems by Graphing Solving Systems by Substitution Special Cases Word Problems 10 10 10 10 10 20 20 20 20 20 30 30 30 30 30 40 40 40 40 40 50 50 50 50 50 Final Question

Is this ordered pair a solution of x-y = -3 and 2x + y = 0 (-1, 2)
Is this ordered pair a solution of x-y = -3 and 2x + y = 0 (-1, 2)
Yes
Is this ordered pair a solution of x=2y+1 and y=x (-1, -1)
Is this ordered pair a solution of x=2y+1 and y=x (-1, -1)
Yes
Is this ordered pair a solution of 4x-y=-3 and 3y-6x=6 (2,11)
Is this ordered pair a solution of 4x-y=-3 and 3y-6x=6 (2,11)
No
What does it mean if (3,2) is a solution of y=x-1 and y=-x+5
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
Tell whether (-5, -6) is a solution of x-2y = 7 and y-x=2
Tell whether (-5, -6) is a solution of x-2y = 7 and y-x=2
No
Solve y=x-3 and y=-x+5 by graphing
Solve y=x-3 and y=-x+5 by graphing
(4,1)
Solve 4x+y=-1 and y-4=x by graphing
Solve 4x+y=-1 and y-4=x by graphing
(-1, 3)
Solve y-2=1/3x and 3y=-2x-3 by graphing
Solve y-2=1/3x and 3y=-2x-3 by graphing
(-3, 1)
Solve y-3x =2 and y= -2x-8 by graphing
Solve y-3x =2 and y= -2x-8 by graphing
(-2, -4)
Solve y-5 = -1/2x and x=y-2 by graphing
Solve y-5 = -1/2x and x=y-2 by graphing
(2, 4)
Solve y=x +1 and x + y = 7 by substitution
Solve y=x +1 and x + y = 7 by substitution
(3, 4)
Solve y=x+3 and 2x+y=9 by substitution
Solve y=x+3 and 2x+y=9 by substitution
(2, 5)
Solve y-2=3x and 3x-2y= -13 by substitution
Solve y-2=3x and 3x-2y= -13 by substitution
(3, 11)
Solve 3x - 2y = 4 and x + 4y = 34 by substitution
Solve 3x - 2y = 4 and x + 4y = 34 by substitution
(6, 7)
Solve 3y -4x = 29 and 2y + 5x = 4 by substitution
Solve 3y -4x = 29 and 2y + 5x = 4 by substitution
(-2, 7)
What is the solution of -4x + y =1 and 2y - 2 = 8x
What is the solution of -4x + y =1 and 2y - 2 = 8x
Infinitely Many Solutions
What is the solution of 8y - 6x = 48 and 2y = 3/2 x -12
What is the solution of 8y - 6x = 48 and 2y = 3/2 x -12
No Solution
What is the solution of y = 2/3x +7 and 3y = 2x - 3
What is the solution of y = 2/3x +7 and 3y = 2x - 3
No Solution
What is the solution of 5y - 4x = -5 and 10y + 10 = 8x
What is the solution of 5y - 4x = -5 and 10y + 10 = 8x
Infinitely Many Solutions
How many solutions does y = -6x + 10 and y = -6x + 3 have
How many solutions does y = -6x + 10 and y = -6x + 3 have
0 solutions
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?
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
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?
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
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.
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
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.
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
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?
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
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
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

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