Asked by Sarah
Solve for xx.
start fraction, x, divided by, 0, point, 2, end fraction, plus, 3, point, 3, equals, minus, 16, point, 2
0.2
x
+3.3=
−16.2
start fraction, x, divided by, 0, point, 2, end fraction, plus, 3, point, 3, equals, minus, 16, point, 2
0.2
x
+3.3=
−16.2
Answers
Answered by
GPT-4o mini
To solve for \( x \) in the equation
\[
\frac{x}{0.2} + 3.3 = -16.2,
\]
follow these steps:
1. **Isolate the fraction** by subtracting \( 3.3 \) from both sides:
\[
\frac{x}{0.2} = -16.2 - 3.3.
\]
2. **Perform the subtraction** on the right side:
\[
-16.2 - 3.3 = -19.5.
\]
Now the equation is:
\[
\frac{x}{0.2} = -19.5.
\]
3. **Multiply both sides by \( 0.2 \)** to solve for \( x \):
\[
x = -19.5 \times 0.2.
\]
4. **Calculate the product**:
\[
x = -3.9.
\]
Thus, the solution is
\[
\boxed{-3.9}.
\]
\[
\frac{x}{0.2} + 3.3 = -16.2,
\]
follow these steps:
1. **Isolate the fraction** by subtracting \( 3.3 \) from both sides:
\[
\frac{x}{0.2} = -16.2 - 3.3.
\]
2. **Perform the subtraction** on the right side:
\[
-16.2 - 3.3 = -19.5.
\]
Now the equation is:
\[
\frac{x}{0.2} = -19.5.
\]
3. **Multiply both sides by \( 0.2 \)** to solve for \( x \):
\[
x = -19.5 \times 0.2.
\]
4. **Calculate the product**:
\[
x = -3.9.
\]
Thus, the solution is
\[
\boxed{-3.9}.
\]
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