Create and Solve Linear Systems

Determine how many solutions the system has.
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

• I am Spartacus!

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Solve the system:
x + y = 21
6x + 4y = 104

• (10, 11)

• (12, 9)

• (11, 10)

• (9, 12)

Determine how many solutions the system has.

• One Solution

• No Solutions

• Infinitely Many Solutions

• Mikey is my friend.

Determine how many solutions this system has.

• One Solution

• No solution

• Infinitely Many Solutions

• What is a solution?

What is the first step in solving a system of equations by elimination/matrices?

• Get both equations in standard form and line up the like terms.

• Get both equations in slope-intercept form.

• Get both equations equal to zero.

• Put the x terms first.

The solution (x, y) to a system of equations is the point where they...? 

• Run off the graph

• Don't touch

• Intersect

• Exist

Is (1,10) a solution to

y=7x+5

y=x+9

• yes

• no

________________ is a set of two or more equations that have the same variables.

• solution of a system

• elimination method

• system of equations

• table

 4x + 8y =  20
-4x + 2y = -30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)