Transcript Solving Linear Systems - Brookville Local Schools

Solving Linear Systems
Solve the system:
y=x–2
y = -2x + 7
(3,1)
Group 1 - 3 use graphing
Group 3 – 6 use elimination
Group 7 and 8 use substitution
Solving Linear Systems
Solve the system:
(2,1)
y = -x + 3
y = 3/2x – 2
Group 1 - 3 use elimination
Group 3 – 6 use substitution
Group 7 and 8 use graphing
Solving Linear Systems
Solve the system:
2x + 4y = 12
x+y=2
(-2, 4)
Group 1 - 3 use substitution
Group 3 – 6 use graphing
Group 7 and 8 use elimination
Solving Linear Systems
Solve the system:
3 = 4y + x
4y = -x + 3
Use any method!
Infinite Solutions
Dependent System
Solving Linear Systems
Solve the system:
3x = -5y + 4
250 + 150x = 300y
Use any method!
(-1/33, 9/11)
Solving Linear Systems
Solve the system:
7x – y = 6
-7x + y = -6
Use any method!
Infinite Solutions
Dependent
Solving Linear Systems
Solve the system:
x = -3
y=5
Use any method!
(-3, 5)
Solving Linear Systems
Solve the system:
-3x + y = 4
x – 1/3y = 1
Use any method!
Inconsistent
Solving Linear Systems
Find the linear models for each set of data. In
what year will the two quantities be equal?
Solving Linear Systems
Find the linear models for each set of data. In
what year will the two quantities be equal?
Solving Linear Systems
You and a friend are both reading a book.
You read 2 pages each minute and have
already read 55 pages. Your friend reads 3
pages each minute and has already read 35
pages. Solve the system of equations to find
when the two of you will have read the same
number of pages.
Solving Linear Systems
Jenny’s Bakery sells carrot muffins at $2
each. The electricity to run the oven is $120
per day and the cost of making carrot muffins
is $1.40. How many muffins need to be sold
each day to break even?
Solving Linear Systems
A student has some $1 bills and some $5 bills
in his wallet. He has a total of 15 bills that are
worth $47. How many of each type of bill
does he have?
Solving Linear Systems
A student took 60 minutes to answer a
combination of 20 mulitple-choice and
extended response questions. She took 2
minutes to answer each multiple choice
question (m) and 6 minutes to answer each
extended response question (r).
How many of each type of question was on
the test?
Solving Linear Systems
A scientist wants to make 6 milliliters of a 30%
sulfuric acid solution. The solution is make
from a combination of a 20% sulfuric acid
solution and a 50% sulfuric acid solution.
How many milliliters of each solution must be
combined to make the 30% solution?
Solving Linear Systems
The equation 3x – 4y = 2 and which equation
below form a system with no solutions?
a. 2y = 1.5x – 2
b. 3x + 4y = 2
c. 2y = 1.5x – 1
d. 4y – 3x = -2