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 be begin with?
- 7 points for showing all your work
- 1 point for identifying the amount of solutions to the equation
- 2 points for explaining how you could have determined the amount of solutions by examining the equation.
To solve the equation 5x−6=−4+5x, I would start by simplifying both sides of the equation. By doing this, we can see that the variables cancel out, resulting in 0=2. This means that the equation has no solutions. To determine the amount of solutions by examining the equation, we can see that the variables are the same on both sides, leading to a situation where one side equals the other side, resulting in infinite solutions or no solutions. In this case, since 0 does not equal 2, we know that there are no solutions to the equation.
