the equation 5+x-14=x-7:Part A. Solve the equation 5+x-14=x-7. In your final answer, be sure to state the solution and include all of your work.
Part B. Use the values x=-2,0,3 to verify your solution to the equation 5+x-14=x-7In your final answer, include all of your calculations.
Part A:
5+x-14=x-7
Rearranging the terms:
x-9=x-7
Subtracting x from both sides:
-9=-7
This equation is clearly false, so there is no solution to the equation 5+x-14=x-7.
Part B:
Using x=-2:
5+x-14=x-7
5+(-2)-14=(-2)-7
-11=-9
This equation is false, so x=-2 is not a solution to the equation.
Using x=0:
5+x-14=x-7
5+0-14=0-7
-9=-7
This equation is false, so x=0 is not a solution to the equation.
Using x=3:
5+x-14=x-7
5+3-14=3-7
-6=-4
This equation is false, so x=3 is not a solution to the equation.
Since none of the values of x checked turned out to be solutions to the equation, the equation has no solution.