Equivalent Systems

An equivalent system will have the same intersection point on a graph.

True of False?

• True

• False

Is this an Equivalent System:

• yes,

  by Same/Same

• Yes,

  by Sum/Multiple

• No,

  because 3x = 18 is missing the y.

• No,

  because their are no multiples.

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Select the systems that have the same solution as the following below.

5x + y = 9

10x − 7y = −18

• 10x + 2y = 18

  10x - 7y = -18

• -10x - 2y = -18

  10x - 7y = -18

• 15x - 5y = -9

  10x - 7y = -18

• 15x - 6y = -9

  20x - 14y = -36

Select the systems that have the same solution as the following below.

-6x + 5y=1

6x + 4y=-10

• -12x + 10y = 2

  6x + 4y = -10

• -30x -30y = 30

  40x + 5y = 10

• 6x + 6y = -1

  6x + 4y = 10

• -6x + 5y = 1

  18x + 12y = -30