Solve the equation and check the result. \( -7=\frac{13 r+68}{7} \) SUBMIT ANSWER
Solución de inteligencia artificial de Upstudy
Responder
Solución
Respondido por UpStudy AI y revisado por un tutor profesional


The Deep Dive
To solve the equation, first multiply both sides by 7 to eliminate the fraction: \[ -7 \times 7 = 13r + 68 \] This simplifies to: \[ -49 = 13r + 68 \] Next, isolate \(13r\) by subtracting 68 from both sides: \[ -49 - 68 = 13r \] This results in: \[ -117 = 13r \] Now, divide both sides by 13: \[ r = \frac{-117}{13} = -9 \] To check the result, substitute \(r = -9\) back into the original equation: \[ -7 = \frac{13(-9) + 68}{7} \] This becomes: \[ -7 = \frac{-117 + 68}{7} \] Which simplifies to: \[ -7 = \frac{-49}{7} = -7 \] Since both sides of the equation are equal, the solution \(r = -9\) is correct.
