Solving Systems
Solve the system of equations.
y=x+2
y=3x-2
(2,4)
Which property was used below?
3(x+4)=3x+12
Distributive Property
Only write the system of equations. Don't solve!
Kristin bought 3 pairs of shoes and 6 shirts for $37.89. Taylor went to the same store and bought 5 pairs of shoes and 2 shirts for $42.25.
3x+6y=37.89
5x+2y=42.25
Solve the system of equations.
2y=2x+12
y=-2x-3
(-3,3)
Solve for x.
ax+by=c
x=(c-by)/a
Write a let statement for the word problem below.
Elisa has 18 coins that are only quarters and nickels. She has a total amount of $1.40. Write a system of equations.
x = quarters and y = nickels
or
q = quarters and n = nickels
Solve the system.
5x+4y=-7
-5x-2y=1
(1,-3)
Solve for j.
j/3+5=9
j=12
Miguel and James are buying snacks. Michael buys 2 bags of chips and 1 jar of salsa and spends $8.90. Jim buys 4 bags of chips and 3 jars of salsa and spends $19.70.
Bag of chips = $3.50
Salsa = $1.90
List 4 steps to solving a system of equations.
Put both equations in y= form.
Enter into the solver.
Substitute x value into one of the equations.
Write final answer as a point.
Which property is used below?
7 + (3x +8)=(7+3x)+8
Associative Property of Addition
Tyshone spent $131 on a total of 7 shirts. Dress shirts cost $28 and t-shirts cost $15. How many of each shirt did he buy?
2 Dress shirts and 5 t-shirts
8t+3k=13
3t+2k=11
(-1,7)
Solve for r.
-3(4r-8)=-36
r=5
FINAL JEOPARDY: PLACE YOUR BETS
A farmhouse shelters 11 animals. Some are goats and some are ducks. There is a total of 34 legs. How many of each animal are there?