Answer :
To solve the equation [tex]\(-10.1 = w + 5.3\)[/tex] for [tex]\(w\)[/tex], we'll follow these steps:
1. Identify the equation: We have [tex]\(-10.1 = w + 5.3\)[/tex].
2. Isolate the variable [tex]\(w\)[/tex]: We want to get [tex]\(w\)[/tex] by itself on one side of the equation. To do this, we need to remove [tex]\(5.3\)[/tex] from the right side. We achieve that by subtracting [tex]\(5.3\)[/tex] from both sides of the equation.
3. Subtract [tex]\(5.3\)[/tex] from both sides:
[tex]\[
-10.1 - 5.3 = w + 5.3 - 5.3
\][/tex]
4. Simplify the equation:
- The right side simplifies to just [tex]\(w\)[/tex] since [tex]\(5.3 - 5.3 = 0\)[/tex].
- On the left side, perform the subtraction:
[tex]\[
-10.1 - 5.3 = -15.4
\][/tex]
5. Solution: Now, we have the equation:
[tex]\[
w = -15.4
\][/tex]
Thus, the solution is [tex]\(w = -15.4\)[/tex].
1. Identify the equation: We have [tex]\(-10.1 = w + 5.3\)[/tex].
2. Isolate the variable [tex]\(w\)[/tex]: We want to get [tex]\(w\)[/tex] by itself on one side of the equation. To do this, we need to remove [tex]\(5.3\)[/tex] from the right side. We achieve that by subtracting [tex]\(5.3\)[/tex] from both sides of the equation.
3. Subtract [tex]\(5.3\)[/tex] from both sides:
[tex]\[
-10.1 - 5.3 = w + 5.3 - 5.3
\][/tex]
4. Simplify the equation:
- The right side simplifies to just [tex]\(w\)[/tex] since [tex]\(5.3 - 5.3 = 0\)[/tex].
- On the left side, perform the subtraction:
[tex]\[
-10.1 - 5.3 = -15.4
\][/tex]
5. Solution: Now, we have the equation:
[tex]\[
w = -15.4
\][/tex]
Thus, the solution is [tex]\(w = -15.4\)[/tex].
