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Using the properties of equality to solve the equation -2b + 7 = -13, you would _____.

subtract 7 and then divide by -2
add 13 and then add 2
subtract 7 and then add 2
add 13 and then divide by -2

1 answer

To solve the equation \(-2b + 7 = -13\), you would follow these steps using the properties of equality:

  1. Subtract 7 from both sides to isolate the term with \(b\): \[ -2b + 7 - 7 = -13 - 7 \] This simplifies to: \[ -2b = -20 \]

  2. Then, divide by -2 to solve for \(b\): \[ b = \frac{-20}{-2} \] This simplifies to: \[ b = 10 \]

So the correct answer is subtract 7 and then divide by -2.