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Systems ofEquations
Ax+By=C to y = mx+b
InterceptsVerify
Solutions Writing
Equations
Q $100
Q $200
Q $300
Q $400
Q $500
Q $100 Q $100Q $100 Q $100
Q $200 Q $200 Q $200 Q $200
Q $300 Q $300 Q $300 Q $300
Q $400 Q $400 Q $400 Q $400
Q $500 Q $500 Q $500 Q $500
Final Jeopardy
A system of equations has been graphed at the right. What is the solution to this system of equations?
Jeopardy
Jeopardy
You want to use the elimination method to solve for the solution to this system of equations.
3 7 8
5 8 6
x y
x y
Describe how you can eliminate the y term.
Jeopardy
Multiply the first equation by -8 and the second equation by 7 and then add the equations.
Or
Multiply the first equation by 8 and the second equation by -7 and then add the equations
Jeopardy
A pet store sells angel fish for $6 each and clown fish for $4 each. It sold $36 worth of fish.
How many angel fish would be sold if 0 clown fish were sold?How many clown fish would be sold if 0 angel fish were sold?
Jeopardy
Which equation represents the graph below? A 2x – y = -2B 2x + y = -2C x – 2y = -2D -x + 2y = -2
Jeopardy
Is (1, -7) a solution to the system of equations?-3x + y = - 2x + y = - 6
You must show your work!
Jeopardy
YES! The point (-1, -5) worked for BOTH equations
-3x + y = -2 x + y = - 6-3(-1) + -5 = -2 -1 + -5 = - 6 3 + -5 = -2 - 6 = - 6 -2 = -2
Jeopardy
(1, 2) is a solution to which system of equations?
a) 2x + y = 4 -x + y = 3
b) -4x + y = - 4 6x + y = 8
c) -x + y = 1 x + y = 3
Tyheim paid $17.50 to buy 6 youth tickets and 1 adult ticket to a school carnival. Ashley paid $22.50 to buy 3 youth tickets and 3 adult tickets at the carnival.
Write a system of equations to represent the situation. (Let x represent cost of youth ticket and y represent cost of adult ticket)
Jeopardy
Jeopardy
Tickets for a school concert cost $2 for students and $5 for adults. A total of 200 tickets were sold for $670. Write a system of equations to represent the situation.
The Arcadia Theater charges $4 for adult tickets and $3 for student tickets. Mr. Steele purchased 9 tickets (some student and some adult) for $31. Which system of equations could be used to find a, the number of adult tickets, and s, the number of student tickets Mr. Steele purchased?
Jeopardy
Jeopardy
Billy had a total of $47 in $5 and $1 bills in his wallet. He had a total of 15 bills. Write a system of equations that represents the situation if x represents $5 bills and y represents $1 bills?
The only coins Alex has are dimes and quarters.
•His coins have a total value of $5.80.•He has a total of 40 coins.
Write a systems of equations that can be used to find the number of dimes, d, and the number of quarters, q, that Alex has?
Jeopardy
Jeopardy
Complete the following statements:
1.A system of two linear equations has no solution if …2.A system of two linear equations has infinitely many solutions if …3.A system of two linear equations has exactly one solution if …