Pregunta
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\( r = 1.5 \)
Solución
Solve the equation \( 2r+49=-8(-r-5) \).
Solve the equation by following steps:
- step0: Solve for \(r\):
\(2r+49=-8\left(-r-5\right)\)
- step1: Expand the expression:
\(2r+49=8r+40\)
- step2: Move the expression to the left side:
\(2r-8r=40-49\)
- step3: Add and subtract:
\(-6r=40-49\)
- step4: Add and subtract:
\(-6r=-9\)
- step5: Change the signs:
\(6r=9\)
- step6: Divide both sides:
\(\frac{6r}{6}=\frac{9}{6}\)
- step7: Divide the numbers:
\(r=\frac{3}{2}\)
The solution to the equation \(2r+49=-8(-r-5)\) is \(r=\frac{3}{2}\) or \(r=1.5\).
Respondido por UpStudy AI y revisado por un tutor profesional
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Simplifique esta solución Mind Expander
To solve the equation \( 2r + 49 = -8(-r - 5) \), let's first simplify the right side. Expanding \( -8(-r - 5) \) gives us \( 8r + 40 \). Now, the equation looks like this: \[ 2r + 49 = 8r + 40 \] Next, we want to isolate \( r \). Subtract \( 2r \) from both sides: \[ 49 = 6r + 40 \] Now, subtract 40 from both sides: \[ 9 = 6r \] Finally, divide both sides by 6: \[ r = \frac{9}{6} = \frac{3}{2} \] So, the solution to the equation is \( r = \frac{3}{2} \). Let’s recap: we've solved for \( r \) step-by-step. Isn't it satisfying when you see each part fall into place like pieces of a puzzle?
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