7.5 Solving a Linear System using Elimination

We can solve a linear system by adding or subtracting one equation from the other.
Examples:
1. 3 5 6
3 4
2. 2 4 5
4 4
3. 5 3 1
2 5 9
4. 2 3 5
3
5. 5 3 12
4 6 6
6.
7.
1
2
Example word problem: mixture
7.4 Solving a Linear System using Substitution

We can solve a linear system by substituting one equation into the other.
Examples:
1. 3 5 6
4
2. 4 2 5
4 4
3. 5 3 1
5 2 9
4. 2 3 5
3
5. 5 3 12
4 6 6
6. 2 4 7
4 5
7.
8.
1
2
Example: Word Problem (Pe
7.6 Properties of Linear Systems
 Linear systems can have one solution, no solutions, or an infinite number of solutions.
When two lines are parallel (have the same slope), there are _
solutions.
When two lines have the same slope AND same y intercept, t
Basic Skills Review Chapters 1 and 2
Name: _
Chapter 1: Measurement
Converting between units
Calculating surface area and volume
Chapter 2: Trigonometry
Find missing sides on a triangle
Find missing angles in a triangle
Sample Questions:
1. Convert 25
Math 10 Ch. 7 Review
Test next class
Portfolio is due next class (your test will not be marked without it)
Solve a system of equations by
1. Graphing
2. Substitution
3. Elimination
e.g. Try this problem in all 3 ways
Graphing:
Substitution:
3,
3 2 12
Eli
Basic Skills Review Chapters 7
Name: _
Chapter 7: Linear Systems
Solve a system using substitution, elimination, and graphing
Write a system of equations from a word problem
Find out how many solutions there are
Sample Questions:
1. Solve linear system
Basic Skills Review Chapters 5 and 6
Name: _
Chapter 5: Functions and Relations
What is a function
Domain and Range
Rate of change
Chapter 6: Linear Relations
Calculate slope
Graph a line (in 3 forms)
Write an equation (in 3 forms)
Sample Questions:
Station 1 Slope
1. What is the slope of this line?
2. What is the slope of the line that passes through the points (5, 2) and (0,1)?
3. Draw a line that passes through the point (4,5) and has a slope of zero. What is another point
on your line?
4. The sl