Lesson 4.1: Solving system of Linear Equations by Graphing
Tell whether (2,5) is a solution of the linear system.
x+y=7
2x-3y=7
what is 7=7 and -11=-11.
(2,5) is a solution to this system
Solve the following systems by substitution
y=-2x-9
6x-5y=-19
What is x=-4 and y=-1
(-4,-1)
Solve the system by elimination
3x+2y=4
3x-2y=-4
What is (0,2)
Tell whether (-2,0) is a solution of the linear system
Y=-2x-4 and y=x+4
What is (-2,0) is not a solution to this system
Solve the system by substitution
y=3x+14
y=-4x
What is x=-2 and y=8
(-2,8)
Solve the system by elimination
2x+y=-4
-1(x+y=9)
-x-y=-9
2x+y=-4
What is (-13,22)
Solve the system by graphing
y=-2x-1
y=4x-1
What is (1,3)
Solve the system by Substitution
3x=y+8
3x+2y=-1
What is x=5/3 and y=-3
(5/3,-3)
Solve the system by elimination
-10x+3y=-1
-2(-5x-6y=23)
10x+12y=-46
-10x+3y=1
What is x=-1 and y=-3
(-1,-3)
Solve the system by graphing
y=x-2
y=-x+4
What is (3,1)
Solve the system by Substitution
4x+5y=7
5y=2x+19
What is x=-2 and y=3
(-2,3)
Solve the system by elimination
-3(x-3y=24)
3x+y=12
-3x+9y=-72
3x+y=12
What is (6,-6)
x=6 and y=-6
Solve the system by graphing
y=1/2x+3
y=-3/2x-5
What is (-4,1)
Connection to Real life: You are selling tickets to a museum. Member tickets cost $6 and nonmembers tickets cost $10. After the exhibit you count $1,076 and 146 tickets. How many nonmembers bought tickets for the exhibit?
What is x=96 and y=50
X is members and y is nonmembers
Connection to Real life: A business with two locations buys several delivery vans. The first location receives 5 large vans and 2 small vans for $235,000. The second location receives 2 large vans and 3 small vans for $160,000. What is the cost of each type of van?
What is x=35,000 and y=30,000 or x=15 and y=-6
(15,-6)