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30 June, 14:57

A system of equations consists of two lines. One line is represented by the equation y - 6 = 2x and the other line is represented by the equation y = 2 (x+1) + 4. What can you determine about the solution (s) to this system?

a) One Solution (-2, 1)

b) No Solution

c) An Infinite Number of Solutions

d) One Solution (2,8)

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  1. 30 June, 15:05
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    c) An Infinite Number of Solutions

    Step-by-step explanation:

    y - 6 = 2x

    y = 2 (x+1) + 4.

    Solve the first equation for y

    y = 2x+6

    Set the two equations equal

    2x+6 = 2 (x+1) + 4

    Distribute

    2x+6 = 2x+2+4

    2x+6 = 2x+6

    Subtract 2x from each side

    6 = 6

    This is always true so there are infinite solutions
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