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Math  /  Algebra

QuestionSolve for rr and simplify your answer. 5=−54r5=-\frac{5}{4} r
Answer Attempt 1 out of 2

Studdy Solution

STEP 1

1. The equation 5=−54r 5 = -\frac{5}{4} r is asking us to solve for r r .
2. This is a one-step equation involving a fraction.
3. The equation involves basic algebraic operations, specifically multiplication and division.

STEP 2

1. Understand the structure of the equation.
2. Isolate the variable r r by performing algebraic operations.
3. Simplify the expression for r r .

STEP 3

The equation 5=−54r 5 = -\frac{5}{4} r indicates that 5 5 is equal to −54 -\frac{5}{4} times r r .

STEP 4

To isolate r r , we need to eliminate the fraction −54-\frac{5}{4}. We do this by multiplying both sides of the equation by the reciprocal of −54-\frac{5}{4}, which is −45-\frac{4}{5}:
5×(−45)=r×(−45) 5 \times \left(-\frac{4}{5}\right) = r \times \left(-\frac{4}{5}\right)

STEP 5

Simplify the left side of the equation:
−4=r -4 = r

STEP 6

The expression for r r is already simplified. Therefore, the solution is:
r=−4 r = -4

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