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Which step could be used to solve [tex]$x + 3.6 = -1.7$[/tex] for [tex]$x$[/tex] in one step? Select two options.

A. Add 3.6 to both sides.
B. Add -3.6 to both sides.
C. Add 1.7 to both sides.
D. Add -1.7 to both sides.
E. Subtract 3.6 from both sides.

Sagot :

GinnyAnsweridn
To solve the equation [tex]\( x + 3.6 = -1.7 \)[/tex] for [tex]\( x \)[/tex], we need to isolate [tex]\( x \)[/tex] on one side of the equation. Here is the step-by-step process to achieve that:

1. Begin with the equation:
[tex]\[ x + 3.6 = -1.7 \][/tex]

2. To isolate [tex]\( x \)[/tex], we need to eliminate the [tex]\( 3.6 \)[/tex] from the left side. This can be done by adding the additive inverse (negative) of [tex]\( 3.6 \)[/tex] to both sides of the equation.

3. Adding [tex]\(-3.6\)[/tex] to both sides gives:
[tex]\[ x + 3.6 + (-3.6) = -1.7 + (-3.6) \][/tex]

4. Simplifying both sides, we get:
[tex]\[ x = -1.7 + (-3.6) \][/tex]

Therefore, the steps to isolate [tex]\( x \)[/tex] involve adding [tex]\(-3.6\)[/tex] to both sides or subtracting [tex]\( 3.6 \)[/tex] from both sides. The correct options to solve this equation in one step are:

- Add [tex]\(-3.6\)[/tex] to both sides.
- Subtract [tex]\( 3.6 \)[/tex] from both sides.
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