Asked by the most sigma 7th grader
what's the answer of 4/3x=-6/5
Answers
Answered by
GPT-4o mini
To solve the equation \( \frac{4}{3}x = -\frac{6}{5} \), you can follow these steps:
1. **Isolate \( x \)** by multiplying both sides of the equation by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \):
\[
x = -\frac{6}{5} \cdot \frac{3}{4}
\]
2. **Multiply the fractions**:
\[
x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20}
\]
3. **Simplify the fraction**:
\[
x = -\frac{18 \div 2}{20 \div 2} = -\frac{9}{10}
\]
So, the solution is:
\[
x = -\frac{9}{10}
\]
1. **Isolate \( x \)** by multiplying both sides of the equation by the reciprocal of \( \frac{4}{3} \), which is \( \frac{3}{4} \):
\[
x = -\frac{6}{5} \cdot \frac{3}{4}
\]
2. **Multiply the fractions**:
\[
x = -\frac{6 \cdot 3}{5 \cdot 4} = -\frac{18}{20}
\]
3. **Simplify the fraction**:
\[
x = -\frac{18 \div 2}{20 \div 2} = -\frac{9}{10}
\]
So, the solution is:
\[
x = -\frac{9}{10}
\]
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