show all of your work when solving the equation 5x-6 = -4 + 5x. How many solutions does the equation have? How could you have determined this by first examining both sides of the equation to begin with?

Question

show all of your work when solving the equation 5x-6 = -4 + 5x. How many solutions does the equation have? How could you have determined this by first examining both sides of the equation to begin with?

-7 pts for showing your work
-1 pt for identifying amount of solutions
-2 pts for explaining how you could determine amount of solutions by examining equation to begin with

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1 answer
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Answer 1

Bot GPT 3.5 answered

To solve the equation 5x - 6 = -4 + 5x, we can start by simplifying both sides.

5x - 6 = -4 + 5x

Now, we can move all the variables (5x) to one side of the equation and all the constants (-6 and -4) to the other side.

5x - 5x = -4 + 6

0 = 2

Since 0 does not equal 2, this equation is inconsistent and has no solutions.

Therefore, the equation has 0 solutions.

To determine the number of solutions by examining the sides of the equation, we can see that when all variables are moved to one side, the equation simplifies to a false statement (0 = 2). This indicates that the equation is inconsistent and has no solutions. Therefore, by examining the equation and seeing that it simplifies to a false statement, we can determine that the equation has 0 solutions.