Solve Linear Systems Algebraically
Presentation
•
Mathematics
•
8th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 14 Questions
1
Let's look at this puzzle quickly...
2
Graphing
Substitution
Elimination
Calculator
3
We have already done this.
4
Fill in the Blanks
When solving for systems of linear equations graphically we look for the point of
Type answer...
5
This is the method we will mostly use.
We get one variable by itself and then we SUBSTITUTE it's value into another equation with matching variables.
It is much easier to understand with a visual representation.
6
7
Fill in the Blanks
The point of intersection is written in (x,y) form. If x is 4, then the point of intersection for the last problem is (4,y). The value of y is
Type answer...
8
Elimination can be the easiest way to solve systems.
The problem is that you must have the two equations in the exact same form.
This takes a bit of time to get the hang of, but once you do it can be so very easy to solve.
You still need to substitute at the end, so it doesn't save that step.
9
10
Multiple Choice
Solve the given system by using substitution method.
Infinite number of solutions
x = 0, y = 7
x = -5, y = -7
x = 5, y = 7
no solution
11
Multiple Choice
Using Substitution, solve for the following system of linear equations: y=2x+1
x+y=16
(3,-7)
No solutions
Infinitely many solutions
(5,11)
12
Multiple Choice
Using Substitution, solve for the following system of linear equations:
y = 2x + 5
y = 4x + 9
(-2, 1)
(-2, -1)
(2, -1)
(2, 1)
13
Multiple Choice
Solve the given system by using substitution method:
x = 3y -13
4x + 2y = 4
x = 1, y = 4
x = -1, y = -4
x = -1, y = 4
x = 1, y = -4
14
Multiple Choice
Use elimination method to solve the system below.
4x + 8y = 20
-4x + 2y = -30
(-7,1)
(2,-5)
(-2,5)
(7,-1)
15
Multiple Choice
Solve by elimination:
4x + 4y = 4
3x + 4y = 10
x = 7,y = -6
x = -6, y = 7
x = 6, y = 7
x = 7, y = 6
16
Multiple Choice
Solve by elimination:
2x + 9y = -7
6x - 3y = 9
(-1, -1)
(2,-1)
(1,1)
(1,-1)
17
Multiple Choice
Using the elimination method, determine the solution to the system below.
x - y = 11
2x + y = 19
x = 10, y = -1
x = -1, y = 10
x = 3, y = -4
x = 6, y = 7
18
Multiple Choice
Solve:
x = -3y - 17
2x + 3y = -7
(1, -20)
(10, 0)
(-5, -2)
(10 , -9)
19
Multiple Choice
What is the solution to the system of equations?
y = 3x - 8
y = 4 - x
(3,1)
(1,3)
(3,-1)
(3,-1)
20
Multiple Choice
4x + 2y = 4
21
Multiple Choice
y = -1x - 5
4x - 8y = 4
Let's look at this puzzle quickly...
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