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Systems of Linear Equations (Grade 9)

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Systems of Linear Equations

1. 
Solve by substitution.

-x + y = -4
y = 2x - 11
  1. (7, 3)
  2. (-7, 3)
  3. (3, 7)
  4. (-3, -7)
2. 
Solve for x and y.
2x + 3y = 7
x + y = 3
  1. x=2, y= -1
  2. x=2, y=1
  3. x=4, y=1
  4. x=5, y=2
3. 
Give the number of solutions.

2x + y = 2
y - 2 = -2x
  1. one solution
  2. no solution
  3. infinite number of solutions
4. 
2x + 3y = 1
3x + 2y = 1
  1. one solution
  2. no solution
  3. infinite # of solutions
5. 
Solve by substitution.

y = -6
y = -2x - 2
  1. (1, 4)
  2. (-2, 6)
  3. (2, -6)
  4. (4, 1)
6. 
Solve for x and y.
3x - 4y = 26
x - 8y = 22
  1. x=6, y= -2
  2. x=4, y=3
  3. x=1, y=6
  4. x= -3, y=4
7. 
(1, -4)

y = -4x
y = 2x - 2
Grid 10x10
  1. solution
  2. not a solution
8. 
y - 3x = 5
4y + 4x = 12
  1. (-1/2, 7/2)
  2. (1/2, 5/2)
  3. No solution
  4. (7/2, -1/2)
9. 
Which system of equations has no solutions?
  1. [math]a - b = 2, \ \ \ b = -a - 3[/math]
  2. [math]a-b=3, \ \ \ a+b=-2[/math]
  3. [math]-a+b=-2, \ \ \ b=a+3[/math]
  4. [math]a+b=3, \ \ \ -a+b=2[/math]
10. 
2x + 9y = 0
3x + 5y = 17
  1. (-9, 2)
  2. (-9, -0)
  3. (9, -2)
  4. (-2, 9)
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