Linear System

One brand of suntan lotion comes in a small size with x ounces of lotion and a regular size with y ounces of lotion.  Given the equations below how can we eliminate the terms with x?
x+2y = 15
2x + y = 19.5

• subtract the two equations from each other

• multiply the second equation by -1 and add the two equations

• multiply first equation by 2, multiply the second equation by 1 then add them

• multiply the first equation by -2 then add the equations together 

Give the solution to the system.

• (3,1)

• (1,3)

• (-1,3)

• (1, -3)

Solve the system of equations.
x + 2y = -3
x - y = -12

• (-9, 3)

• (-7 ,5)

• (3, 15)

• (9, 6)

Solve:
-2x + 5y = -1
4x - 2y = -6

• (-2, -1)

• (2, 7)

• (3, 1)

• (-1, -2)

What is the solution to this system?

• (-2, -2)

• (2, -2)

• (-2,2)

• (2, 2)

Solve for x and y:
y = 2x + 1
y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

What is a solution of a linear system?

• the slope of the line

• the y-intercept

• the point where the systems intersect

• the rise over tun

What is a solution of a linear system if the lines are the same?

• One solution

• No solution

• Infinitely Many solutions

• A
• B
• C
• D

What system of equations does this graph represent?

• A

• B

• C

• D