Question
Using the addition property of equality first, solve the following equation. \( \frac{1}{2} a+6=-5 \) \( a=\square \)
Ask by Lane Barber. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( a = -22 \)
Solution
Step 1: Start with the equation
(1/2)a + 6 = -5
Step 2: Use the addition property of equality to subtract 6 from both sides, so that the term with a is isolated:
(1/2)a + 6 - 6 = -5 - 6
(1/2)a = -11
Step 3: To solve for a, multiply both sides by 2 (the reciprocal of 1/2):
2 × (1/2)a = -11 × 2
a = -22
Thus, the solution is
a = -22
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Simplify this solution Mind Expander
To solve the equation \( \frac{1}{2} a + 6 = -5 \), we'll start by isolating the term with \( a \). First, subtract 6 from both sides using the addition property of equality: \[ \frac{1}{2} a + 6 - 6 = -5 - 6 \] This simplifies to: \[ \frac{1}{2} a = -11 \] Next, to eliminate the fraction, multiply both sides by 2: \[ 2 \times \frac{1}{2} a = 2 \times -11 \] This results in: \[ a = -22 \] So, the solution is \( a = -22 \).
