Question

Solving a One-Step Equation

Warm-Up
Match the justification to each statement in the solution of x + 12.7 = -25.2.
X+0 = -37.9
additive inverse/simplification
x = -37.9
identity property of addition
x + 12.7 - 12.7 = -25.2 - 12.7
subtraction property of equality
x + 12.7 = -25.2
given
Intro
Done

Answer 1

Answer/Step-by-step explanation:

To solve the given expression,
`x + 12.7 = -25.2`, the following steps as well as justification for each step is given below:

Step 1: state the given expression

`x + 12.7 = -25.2` (given)

Step 2: solve for x by subtracting 12.7 from each side of the equation.

`x + 12.7 - 12.7 = -25.2 - 12.7`

Step 3: Apply the additive inverse rule and simplify (i.e the additive inverse of 12.7 is -12.7. when added, it gives us 0)

`x + 0 = -37.9` (additive inverse/simplification)

Step 4: additive identity rule (i.e. the 0 added to x = 0)

`x + 0 = -37.9` (identity property of addition)