Solve [tex]10r=80[/tex]
Answer (2)
Divide both sides of the equation by 10: 10 10 r = 10 80 .
Simplify the left side: r = 10 80 .
Simplify the right side: r = 8 .
The solution to the equation is 8 .
Explanation
Understanding the Problem We are given the equation 10 r = 80 and our goal is to find the value of r that satisfies this equation. This is a straightforward linear equation, and we can solve it by isolating r on one side of the equation.
Isolating the Variable To isolate r , we need to undo the multiplication by 10. We can do this by dividing both sides of the equation by 10. This gives us: 10 10 r = 10 80
Simplifying the Equation Now, we simplify both sides of the equation. On the left side, the 10s cancel out, leaving us with just r . On the right side, we have 10 80 , which simplifies to 8. Therefore, we have: r = 8
Final Answer So, the solution to the equation 10 r = 80 is r = 8 .
Examples
Imagine you're buying multiple items of the same price. If you know that 10 identical items cost $80, this problem helps you determine the price of a single item. By solving the equation 10 r = 80 , where r is the price of one item, you find that each item costs $8. This concept is useful in everyday situations like calculating unit prices while shopping or dividing costs among friends.
To solve the equation 10 r = 80 , divide both sides by 10, yielding r = 8 .
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