Systems of Equations via Elimination

Solve by elimination
-12x-10y= 0
6x+5y= -1

• infinite solutions

• (0,0)

• no solution 

• (2,1)

There are a combined total of 50 donkeys and chickens on a farm. There are 174 legs in all. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

• Intersecting lines at one point

• Same lines, stacked on top of each other, intersecting everywhere

• Parallel lines that are gapped and do not intersect

If a system of linear equations has one solution, what does this mean about the two lines?

• Parallel lines that do not intersect

• Same lines intersecting everywhere

• Intersecting lines at one point

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740

• S + A = 530
  4S + 3A = 1740

• S + A = 1740
  3S + 4A = 530

• S + A = 1740
  4S + 3A = 530

Solve the system of equations.

• (10, 3)

• (6, 3)

• (15, 3)

• No solution

• Infinite Solution

Systems by Elimination

2) x = ___

Solve the Systems of Equations via. Elimination

4x + 8y = 20

−4x + 2y = −30

• (-7,1)

• (-1,7)

• (7, -1)

• (1,-7)

Solve the Systems via. Elimination

−3x + 7y = −16

−9x + 5y = 16

• (-4,-4)

• (4,4)

• (9,5)

• (-5,-9)

Solve using Elimination Method:

x - y = 11

2x + y = 19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)