All about Systems of Equations
Solving Systems of Linear Equations: Substitution
Solving
Solving 2.0
Random Unit 4
100
What kind of solution would you have when you get
x = 0?
One, None, or Infinite?
One
100
Solve the system:
y = 4
x + 10y = 72
(32, 4)
100
Solve the system:
2x+y=9
2x+y=9
Infinite Solutions
100
What does the word substitute mean?
Replace
100
What option is NOT equivalent to:
3 (x+10) = 30
A. 3x + 13 = 30
B. 3x + 30 = 30
C. x + x + x + 10 = 30
A.
200
What is the solution to this graphed system of equations?
(2,2)
200
Solve the system:
y = 3x + 10
x + y = 20
(2.5,17.5)
200
Solve the system:
y=2x+4
y=2x+5
No solution because the variables cancel out
200
How many solutions does this system have (show your work):
y = 2x + 4
y = 2x - 4
None, the variables cancel out.
200
Write the system of equations for this story problem then solve the system.
Tom makes $15 an hour and has $75 in his savings account. Sally makes $13 an hour and has $105 in his savings account.
When will they have the same amount of money?
At 15 weeks they would both have $300.
(15,30)
300
What does it mean to "find the solution" to a system of linear equations?
It means to find the point (x, y) where the 2 lines intersect.
300
Solve the system:
y=2x
3x+y=20
3x+(2x)=20 or
5x=20
x=4
y=8
(4,8)
300
Solve the system:
y = 5x + 10
y = 6x - 20
One Solution
(30, 160)
300
The solution of the following system of equations:
y=−3y=-3
y=6x+3
(-1,-3)
300
What're the steps to solving an equation? (Write out the steps)
DCMAM
Distribute
Combine Like Terms
Move the Variable
Add or Subtract
Multiply or Divide
400
At least how many linear equations will be in a system of linear equations?
At least 2 linear equations
400
Solve the system:
y = -3x + 5
5x - 4y = -3
(1,2)
400
Solve the system:
9x+3y=y
9x+3y=y
Infinite Solutions, it is the same equation.
400
-3 (2h - 4) = 20 - 4h
h = -4
400
Solve for x:
7x - 15 = 1/2 (4x + 10)
x = 4
500
How do we write solutions to systems of linear equations?
(x, y)
500
Use the substitution method to solve the system of linear equations:
x=3y
x+y=20
(3y) + y = 20
4y=20
y=5
x=15
(15,5)
500
Solve the system:
6(x+3) = y
6x + 18 = y
Infinite solutions, after distributing they are the same equations.
500
Solve for x:
1/2 ( 10x - 12) = 4x + 9 + 6
x = 21
500
Determine which two equations create a system with a solution of (3,6). Show your work.
a. y = -3x
b. y = x +3
c. y = x + 9
d. y = 3x - 3
e. y = 2x - 1
B and D