Systems of Equations Mixed Review

How many solutions does this system have?

2y = 16x – 2

y = 8x + 2

• One solution

• No solutions

• Infinitely many solutions

Which is the best method to use?

y = 6x − 11

−2x − 3y = −7

• Graphing

• Substitution because a variable is isolated.

• Elimination because both equations are in standard form.

Solve for x and y by using the substitution method. y = 2x + 1 y = 4x - 1

• (1,3)

• (-1,-3)

• (-1,3)

• (3,1)

Solve for x and y by using the substitution method.

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

Solve for x and y by using the substitution method.

y = -2x

4x - y = 0

• (1,2)

• (0,0)

• No Solutions

• Infinite Solutions

Solve for x and y using the substitution method. 5x + 3y = 7 y = 4

• (4,1)

• (4,-1)

• (1,4)

• (-1,4)

What is the solution?

• No solution

• (0, 2)

• (0, -4)

• (3, -3)

Solve the system of equations: 

• ( 4, 2, -1)

• ( 4, 3, -1)

• None of these

• ( -4, 3, 1)

The ordered triple (1, -2, 3) is the solution for which system of equations?

• 3x + 2y - z = -4,

  2x - 3y - 2z = -2, and

  x - y + 2z = -9

• 3x + 2y - z = -4,

  2x - 3y - 2z = 2, and

  x + y - 2z = 9

• 3x - 2y - z = -4,

  2x - 3y - 2z = 2, and

  x - y + 2z = 9

• 3x + 2y - z = -4,

  2x - 3y - 2z = 2, and

  x - y + 2z = 9

Solve the system of equations: 

• ( 4, 0, -2)

• ( -4, -2, 0)

• None of these

• ( -4, 0, -2)