What is the equation. Can you tell me please.

Question

An equation with the variable on each side of the equal signs, at least one fractional coefficient, and a solution of -6. Discuss the steps you used.

Answer 1

How about:

 

x = (1/2)x + ___         as 1st step...  we have a variable on both sides of

                                  the equal sign, and one fractional coefficient.

 

Now subtract the (1/2)x from both sides

x - (1/2)x = ____

(1/2)x = _____

 

We want x to be -6 so:

(1/2)(-6) = -3 so that is the number that should still be on the right side of the equal sign.

 

Final equation:  x = (1/2)x - 3

 

Solving this to check: 

x - (1/2)x = -3

(1/2)x = -3

x = 2(-3)

x = -6