Equation Solution Symbols

Solve the system of equations.
y = 4x+1
3x + 2y = 13

• (1, 5)

• (5, 1)

• (0.25, 2)

• ∅

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

One of the equations to a system is above.

Which equation would have to be the 2^nd equation so that the system has NO solutions?

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David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87

• 1.5x+0.5y=78.5
  1.5x+0.5y=87

• x+y=78.5
  1.5x+0.5y=87

• x+y=78.5
  x+y=87

Solve the system of inequalities by graphing.

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If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting lines

• Same line

• Parallel lines

Solve the system using any method:

4x+8y=20

-4x+2y=-30

• (-7,1)

• (2,-5)

• (-2,5)

• (7,-1)

Which of the following is a solution to the systems of inequalities?

• (1, -5)

• (0, -3)

• (-2, 3)

• (-1, -2)

Inconsistent system is a system of equations that has

• one solution

• two solutions

• infinitely many solutions.

• has no solution

Which point below is NOT part of the solution set?

• (0, 0)

• (-10, -10)

• (-1, 5)

• (5, 20)