Question

To test that the solution to the equation below is z = –2, which of the following calculations should be performed?

a) Substitute z = -2 into the equation and check if it holds true.

b) Solve the equation for z and check if it equals -2.

c) Calculate the value of the equation at z = 0 and check if it equals -2.

d) None of the above.

Answer 1

To test if z = -2 is the solution to an equation, you should substitute z = -2 into the equation and check if the equation is true. If the equation holds true after substitution, then z = -2 is indeed a solution.

Step-by-step explanation:

To test that the solution to the equation is z = –2, you should perform the following calculation: Substitute z = -2 into the original equation and check if the equation holds true. This process is known as substitution, where you replace the variable with the given value and simplify the equation to see if both sides remain equal. If they do, then z = –2 is a valid solution to the equation. If not, it means that z = –2 is not the solution.

For example, if your equation is x + 3 = 1, and you want to check if x = -2 is a solution, you would substitute -2 for x and get -2 + 3 = 1, which simplifies to 1 = 1. Since this is a true statement, x = -2 is indeed a solution to the equation.