QQuestionMathematics
QuestionMathematics
What is the value of $x$ in the equation $\frac{3}{5} x=- 45$ ?
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Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Isolate the variable $x$ by multiplying both sides of the equation by the reciprocal of \frac{3}{5}
\frac{5}{3} \cdot \frac{3}{5} x = \frac{5}{3} \cdot (-45)
Step 3:: Simplify the left side of the equation
x = \frac{5}{3} \cdot (-45)
Step 4:: Multiply the numbers
x = -\frac{5 \cdot 45}{3}
Step 5:: Calculate the final value
x = -\frac{225}{3}
Step 6:: Simplify the fraction
x = -75
Final Answer
Verification: Let's check our solution by plugging it back into the original equation: \frac{3}{5} \cdot (- 75) = - 45 \quad \checkmark
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