Solve System Elimination Substitution

Solve the system:
2x + 3y = -2
3x - 2y = 23

• (5, -4)

• (-4, 5)

• (-5, 4)

• infinite solutions

Solve the system:
x + y = 19
y = 3x - 1

• (14, 5)

• (11, 8)

• (5, 14)

• (8, 11)

Solve the system:
2x - 5y = 12
y = -2

• y = -2

• (11, -2)

• (1, -2)

• no solution

Solve the system of equations below:

4x+9y=28

-4x-y=-28

• (-7,0)

• (6,0)

• (-6,0)

• (7,0)

Solve by elimination:

7x+y=-9

-3x-y=5

• No solution

• (1,8)

• (-1,-3)

• (-1,-2)

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

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, 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

Type the first step to solve this system using substitution:

• 2x + 6(-5x) = -3

• 2x - 5x = -3

• y + 6(-5y) =-3

• 2(-5x) + 6y = -3

What would be the first step in finding the solution with elimination?

4x + 3y = 1

x - 3y = -11

• cross out the 3y and -3y

• cross out the 4x and x

• change all the signs of the second equation

• add 1 and -11

Should you use the Substitution or Elimination method to solve this system of equations?

• Substitution

• Elimination