Systems of Equations Unit

Is the ordered pair (−2, 2) a solution of the following linear system?

• yes

• no

Is the ordered pair (3,5) a solution of the following linear system?

• yes

• no

Is the ordered pair (7,-1) a solution of the following linear system?

• yes

• no

Is the systems: y = −3x + 4 and y = 3x − 2 the correct equations for the graph?

• yes

• no

Is the systems: 4x + y = 2 and x − y = 3 the correct equations for the graph?

• yes

• no

Use technology to solve these equations: 4x + y = 2 and x − y = 3

• (1, 2)

• (-1, 2)

• (1, -2)

• (-1, -2)

Use substitution or elimination to solve these equations: 8x − 6y = −20 and −16x + 7y = 30

• (1, 2)

• (-1, -2)

• (-1, 2)

• (1, -2)

Use substitution or elimination to solve these equations: −8x − 10y = 24 and 6x + 5y = 2

• (7, 8)

• (-7, -8)

• (7, -8)

• (-7, 8)

Alec bought 2 nachos and 1 taco at Bueno Taco for $20.57. Josh bought 3 nachos and 3 tacos at Bueno Taco for $36.24. Which equations are true for these systems?

• n + t = 20.57

  3n + 3t = 36.24

• 2n + t = 20.57

  3n + t = 36.24

• 2n + t = 20.57

  3n + 3t = 36.24

• n - t = 20.57

  3n + 3t = 36.24

Solve the following systems of equations by substitution, elimination, or Guassian (no calculator).

5a + 5b + 5c = −20

4a + 3b + 3c = −6

−4a + 3b + 3c = 9

• (5, 6, 9)

• (5, -6, 9)

• (-5, 6, 9)

• no solution