Systems of Equations Graphing
State whether the system of equations is consistent or inconsistent
y=-x+1
y=x-1
consistent
MUST SHOW WORK
3x-2y=-17
y=2x+2
(13,28)
SHOW WORK
5x+13y=20
-5x-3y=30
(-9,5)
y<6
y>x+3
show the boards
73 single issues
27 paperback
Determine the number of solutions the following system of equations have. Then state whether the system of equations is consistent or inconsistent, independenet or dependent.
2x+3y=10
4x+6y=12
inconsistent.
5x-3y=-25
x+4y=18
(-2,5)
3x+6y=30
5x+6y=6
(-12,11)
y>=x+10
y<=x-3
boards
A town ordinance defines an adult tree as having a diameter greater than 10 inches and a sapling as having a diameter less than 10 inches. The ordinance requires that on a new building project, two new trees are planted for each adult tree felled and six new trees are planted for each sapling felled. Last year, there were 167 trees felled, and the community planted 742 replacement trees. How many of each type of tree were felled?
65 adult trees
102 sapling
y=4x+2
y=-2x-4
(-1,-2)
4x+2y=-8
y=-2x-4
infinite
10x+5y=30
5x-3y=-7
(1,4)
3b+2<5b-6<=2b+9
4<b<=5
Two times a number x minus six times another number y is negative six. Negative two times a number x plus five times another number y is eighteen.
x=-39 y=-12
2x+3y=12
2x-y=4
(3,2)
5x+3y=5
x+2y=-13
(7,-10)
3x+4y=-22
-2x+3y=-8
(-2,-4)
-2a+3>6a-1>3a-10
-3<a < 1/2
Flying to Kampala with a tailwind a plane averaged 158 km/h. On the return trip the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.
plane 135km/h
wind 23 km/h
2x-17=x-10
(7,-3)
x=y-1
-x+y=-1
no solution
11x-6y=25
3x+9y=60
(5,5)
|(2p-8)/4|>=9
-14, 22
Sadie can work up to 20 hours per week. Working at a bakery, she earns $7 per hour most of the time and $8.50 per hour during the early morning shift. Sadie needs to earn at least $150 this week to pay for a trip with her friends. Determine the number of regular and early morning hours that Sadie could work.