Systems of Equations Adding

-4x - 6y = 6
4x + 6y = -4

• no solution

• (2,0)

• (-4,0)

• (0,0)

Solve by elimination:
3x+7y=23

-3x-7y=-17

• No solution

• ARN

• (-3,3)

• (3,3)

Solve the system

-9x + 3y = -12

2x - 3y = -9

• No Solution

• ( 3 , 5 )

• ( -3 , -5 )

• ( 5 , 3 )

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Coinciding lines have what type of solution:

• No Solution

• Infinitely Many Solutions

• One Solution 

Which method uses the following rule: 
Align the like terms  

• Graphing

• Elimination

• Subtraction 

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

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Christian had brochures printed for a new business venture. Christian originally ordered 4 boxes of black-and-white brochures and 3 boxes of color brochures, which cost a total of $134. After those ran out, Christian spent $120 on 3 boxes of black-and-white brochures and 3 boxes of color brochures. Which system represents this situation?

• x+y=134
  x+y=120

• 3x+3y=134
  4x+3y=120

• 4x+3y=134
  3x+3y=120

• 7xy=134
  6xy=120

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

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

• solution of a system

• elimination method

• system of equations

• table