Systems of Equations Unit

Solve the following systems with technology.

x − y − 2z = −6

3x + 2y = −25

−4x + y − z = 12

• (−5, 5, 3)

• (−5, −5, 3)

• (5, −5, 3)

• no solution

Solve the following systems with technology.

−6x − 2y + 2z = −8

3x − 2y − 4z = 8

6x − 2y − 6z = −18

• (4, -3, −1)

• (4, 3, 1)

• (-4, 3, −1)

• no solution

Is the systems: x − y = 3 and 7x − y = −3 the correct equations for the graph?

• yes

• no

Use technology to solve these equations: y = x + 2 and x = −3

• (-3, -1)

• (3, 1)

• (3, -1)

• (-3, 1)

Use technology to solve these equations: 4x + 2y = 10 and x − y = 13

• (6, -7)

• (6, 7)

• (-6, 7)

• (-6, -7)

Use technology to solve these equations: −3x + 4y = 3 and −12x + 16y = 8

• no solution

• all real numbers

Use technology to solve these equations: 7x + 3y = 0 and 14x + 6y = 0

• no solution

• all real numbers

How many solutions will this system have? 

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

How many solutions will this system have?

• One

• Two

• No Solution

• Infinitely Many Solutions

Solve the following systems of equations using substitution:

2y + x = -15

x = 3y

• (-3, -9)

• (-9, -3)

• (-3, 9)

• (9, -3)