Question

Consider 2.25t + 5 = 13.5t + 14

Write the resulting equation after moving the 2.25t to the right side

If 13.5t is moved to the left side, what is the resulting equation?
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Andre and Diego were each trying to solve 2x + 6 = 3x -8.

Describe the first step they each make to the equation.

Andre’s resulting equation was - x + 6 = -8
Diego’s resulting equation was 6 = x - 8

Answer 1

• 5 = 11.25t +14
• -11.25t +5 =14
• Andre moved 3x to the left.
• Diego moved 3x to the right

Explanation:

• Moving the 2.25t to the right side

2.25t + 5 = 13.5t + 14

5 = 13.5t + 14 - 2.25t

5 = 11.25t +14

• Moving the 13.5t to the left side

2.25t + 5 = 13.5t + 14

2.25t + 5 -13.5t= 14

-11.25t +5 =14

• Andre moved 3x to the left.

2x + 6 = 3x -8

2x+6-3x=8

-x+6 =8

• Diego moved 3x to the right

2x + 6 = 3x -8

6 =3x-8-2x

6= x-8

Feel free to ask for more if needed or if you did not understand something.