Solve: [tex]\frac{b}{-3}=-9[/tex]
Answer (2)
Multiply both sides of the equation by -3: − 3 b × ( − 3 ) = − 9 × ( − 3 ) .
Simplify to find b : b = − 9 × ( − 3 ) .
Calculate the value of b : b = 27 .
The solution to the equation is: 27 .
Explanation
Understanding the Problem We are given the equation − 3 b = − 9 and our goal is to find the value of b .
Isolating b To isolate b , we need to get rid of the − 3 in the denominator. We can do this by multiplying both sides of the equation by − 3 . This gives us: − 3 b × ( − 3 ) = − 9 × ( − 3 ) b = − 9 × ( − 3 )
Calculating the value of b Now we just need to perform the multiplication: − 9 × ( − 3 ) = 27 . Therefore, b = 27 .
Final Answer So, the solution to the equation − 3 b = − 9 is b = 27 .
Examples
Imagine you're sharing a bill with friends. If the total bill is $9 and you're splitting it among 3 people (represented as dividing by -3 since it's an expense), you want to find out how much each person owes. This problem shows that each person owes $27, but since it's an expense, it's represented as a positive value. This kind of math helps in everyday situations like splitting costs, calculating discounts, or understanding proportions.
To solve the equation − 3 b = − 9 , multiply both sides by − 3 to find b = 27 . This shows that the value of b is 27. Thus, the solution is b = 27 .
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