Two-Step
-16-7a=5
a= -3
-16x+11+23x=4
x=-1
-9x+3=-7x-15
x=9
8x+7=8x+8
No Solution
A group of friends wants to go to the amusement park. They have $190 to spend on parking and admission. Parking is $6, and tickets cost $23 per person, including tax. What does our variable represent?
The number of people who can go to the amusement park.
3.4b-3.2=-16.8
b= -4
2(2x-3)=2
x=2
3x=+5=x+9
x=2
Infinitely Many Solutions
Lila bought snacks for his team's practice. He bought a bag of apples for $1.59 and 10 bottles of juice. The total cost before tax was $7.39. Which item would our variable be attached to?
Juice Bottles
20+2/9a=38
a=81
-5(-2x-5)+4x+5=44
x=1
6(4x-3)-10x=5x+9
x=3
-7x-8=-4x-8
Jacob took a taxi from his house to the airport. The taxi company charged a pick-up fee of $1.30 plus $5 per mile. The total fare was $16.30, not including the tip. Write an equation which can be used to determine x, the number of miles in the taxi ride.
5x+1.30=16.30
9=-21-10/11z
z=-33
14=5/3(5x+12)
x=-18/25
-3(-1.7x+9.9)=3+9(-1.6x+2)
x=2.6
-4x-8=4x+8
One Solution (x=-2)
Members of a baseball team raised $1128.75 to go to a tournament. They rented a bus for $856.50 and budgeted $24.75 per player for meals. Write an equation which can be used to determine c, the number of players the team can bring to the tournament.
24.75x+856.50=1128.75
-5/6=1/2-2/3c
c=2
-3(-2x-4)-x+4=3x+22-3x+19
x=5
-1+8/5x+9/2-x=-5x
x=-5/8
-3x+1+10=-14x-18-8
x=-37/11
Ava bought snacks for her team's practice. She bought a bag of oranges for $2.71 and a 4-pack of juice bottles. The total cost before tax was $6.75. Write the equation which can be used to determine j.
4j+2.71=6.75