Elimination Method Systems of Equations

What would be an appropriate next step to solve the system using elimination method?

• Vertically Add the two equations together

• Multiply all terms in the second equation by -1

• Multiply -4y by -1 in one of the equations

• Multiply all terms in the second equation by -2 and all terms in the first equation by -1

Solve for x and solve for y
3x  - 3y = 33
6x - 3y = 57

• (8,-3)

• (-3,8)

• (10,1)

• (10,-1)

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

In order to solve a system using Elimination method, what first must happen

• Both equations are in Slope Intercept Form

• Both equations are in Standard Form

• Both equations are in Point Slope Form

Solve the system with linear combinations method (Elimination method).

x + 4y = -4

3x + 5y = 2

Type in answer with no spaces between terms. Ex: (-2,1)

If no soultion type in NS

If infinitely many solutions type in IMS

Answer explanation

• A

• B

• C

• D

Identify a possible first step using the elimination method to solve the system and then find the solution to the system.

• Multiply second equation by 6, solution (2, 0).

• Multiply second equation by 6, solution (-2, 0).

• Multiply second equation by -6, solution (0, 2).

• Multiply second equation by -6, solution (0, -2).

Solve for x

Hint: Solve using Elimination Method:

• 1/2

• 1

• -1

• -1/2

Solve by elimination:

-9x-4y=-20

5x+4y=4

• (-4,4)

• (4,4)

• (4,-4)

• (-4,-4)

• A

• B

• C

• D