Question

Determine whether the equation below has a one solutions, no solutions, or an

infinite number of solutions. Afterwards, determine two values of x that support your
conclusion.
x-7=-2

Answer 1

The equation x - 7 = -2 can be solved for x by adding 7 to both sides:

x - 7 + 7 = -2 + 7
x = 5

This equation has a unique solution: x = 5. This means that there is exactly one value of x that satisfies the equation.

To support the conclusion that the equation has a unique solution, we can substitute x = 5 back into the equation and check that it is true:

5 - 7 = -2
-2 = -2

Since the left-hand side and the right-hand side are equal, the equation is true for x = 5, and it has a unique solution