Question

Sherry uses the steps below to solve the equation X+ (-8) = 3x+6

Answer 1

Answer:

C.) In step 3, she did not divide the tiles evenly.

Step-by-step explanation:

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Answer 2

Answer:

See explanation

Step-by-step explanation:

Sherry has the equation $x+ (-8) = 3x+6$

1 step: Add 1 negative x-tile to both sides and create zero pairs:

$x+(-8)+(-x)=3x+6+(-x)\\ \\-8=2x+6$

2 step: Add 8 positive unit tiles to both sides and create zero pairs:

$-8+8=2x+6+8\\ \\0=2x+14$

3 step: Add 14 negative unit tiles to both sides and create zero pairs:

$0+(-14)=2x+14+(-14)\\ \\-14=2x$

4 step: Divide the 14 negatuve unit tiles evenly among the 2 x-tiles:

$\dfrac{-14}{2}=-7$

5 step: The solution is

$x=-7$

Or Sherry can combine step 2 and 3 and having the equation $-8=2x+6$ add 6 negative unit tiles to both sides and create zero products:

$-8+(-6)=2x+6+(-6)\\ \\-14=2x$