Solving Equations
5(2x+5) = 10x +10
No Solution
The solution to the system of equations:
x + y = -6
x - y = -10
What is (-8, 2)?
Jonny buys 4 sodas and 2 chips for $6. Billy buys 6 sodas and 2 chips for $8. How much is each soda and chips?
sodas=$1
chips= $1
3(2x+4) + 4x = 5x + 22
x=2
The solution to the system
y = 2x + 4
4x + 2y = 16
(1,6)
Steve already saved $200 for a new bike and now saves $40 every month. Chris has saved $260 and now saves $20 every month. After how many months will they have the same amount of money saved?
3 months
2(3x+4) + 2 = 6x + 10
Infinite Solution
The solution to the system:
2x+3y=10
-2x+2y=10
What is (-1,4)?
Josh is saving for a car when he turns 16. He already saved $2000 and now saves $200 per month. Oscar is saving for a car and already saved $2600 and now saves $300 per month.
6 months
5x + 4 = 3x + 4
x=0
y=2x
2x+2y=24
(4,8)
David buys 3 video games and 2 controllers for $120 from game stop. Jayda buys 3 video games and 1 controller for $90. How much is each video game and controller?
video game= 20
controller= 30
2(3x+5) + 3x= 1
x= -1
4x+5y=-12
-2x-2y=4
Hint(multiply the bottom equation by 2)
(2,-4)
The Garcia family goes to the movies and buys 3 adult tickets and 4 children tickets for $45. The Jones family goes to the movies and buy 1 adult ticket and 4 children tickets for $30. How much was each adult ticket?
Adult ticket= $7.50