Systems of Equations and Inequalities: Good Things Come in Threes True or False

2x + 2y + 2z = 2

x + 2y + 2z = 1

2x + y + 2z = 2->(0, 0, 1)
True False

3x + 2y + 2z = 3

2x – y – z = 2

x + 4y + z = 4->(1, 1, -1)
True False

4x + 2y – 2z = -4

2x + 2y + 2z = -2

4x + 2y + 4z = 2->(3, -3, 1)
True False

-x + y + z = 1

x + y = -1

y + z = 1->(0, -1, 2)
True False

5x – y – z = 5

-3x + 2y + 2z = -3

x + 2y + z = 2->(0, 1, 0)
True False

4x – 8y + 8z = 4

2x – 4y – 4z = 2

-2x – 2y + 2z = 4->(1, -1, 0)
True False

3x – 3y + 6z = 9

2x + y + 2z = -2

-2x – 2y + 2z = -2->(3, -4, -2)
True False

5x + 5y + 5z = 5

7x + 7y – 7z = 7

-3x + 3y + 3z = -3->(1, 1, 0)
True False

x + 2y + z = 1

-x + 2y + 2z = 1

-2x + 2y + 2z = -2->(-3, -4, -6)
True False

5x – 5y – 5z = 10

-x – y + z = -1

4x + 4y + 4z = 16->
True False