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Copy of Solving System of Equations (Graphing)
Transcript of Copy of Solving System of Equations (Graphing)
How to solve...
m is slope
b is y-intecept
Solving Systems of equation
Take some notes
exercise #4 Use your graphing calculator
to set up an
for the following two linear functions.Then, solve the system of linear equations.
Write both Linear Equations in
slope and y-Intercept form
Now you try it!!
When you are solving systems, you are, graphically, finding
of lines. For two-variable systems, there are then
possible types of solutions.
Infinite Number of Solutions
Where both lines meet is the solution
Ways to simplify 2 equations
Solve for X or Y
Then substitute it in the second equation
Collect like terms and simplify.
Multiples equation by coefficient to get
added together, cancel one of the
Take that value and put it into one of the original equations and
solve for the remaining variable
3 solutions of graphs
a) what point lies on both lines?
(b) Algebraically justify that the point from part (a) is solution to this system of equation by checking to see the point satisfies both equation.
Exercise #2: Solve the following system of linear equations by
each line using the
slope and y-intercept method
. Then, check your solution.
slope and y-intercept
Exercise #3: Which of the following is a solution to the system of equations consisting of
y = 4x + 11 and y = −x +1?
(1) (0,11) (3) (−2, 3)
(2) (3, −2 ) (4) (2, 5)
Exercise #4: Alice’s Athletic Arena requires members to pay
$20 to join and members must pay $1.50 for each time
they come to work out. Roy’s Romper Room requires members to
pay $5 to join and members must pay $4 for each time
they come to work out.
(a) Set up two linear functions for
the cost, C,
of working out at each gym as a function of
the number of times, n,
that a person works out.
(b) graph both function.
(c) for how many visit n,
will the cost at both gyms be the same?
Identify the slope and y-intercept .
y= 4x-2 y=-x+3 2y-4x=6
solve systems of equation.
C = 1.50x + 20
C = 4x + 5
Use the Intersection Function
Use the Graphing Calculator to Graph
The Cost is the same at 6 visits