Question
Solve \( 15-2 z=37 \). \( z=-26 \) \( z=-11 \) \( z=11 \) \( z=26 \)
Ask by Wheeler Hampton. in Brazil
Feb 25,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( z = -11 \)
Solution
Solve the equation \( 15-2z=37 \).
Solve the equation by following steps:
- step0: Solve for \(z\):
\(15-2z=37\)
- step1: Move the constant to the right side:
\(-2z=37-15\)
- step2: Subtract the numbers:
\(-2z=22\)
- step3: Change the signs:
\(2z=-22\)
- step4: Divide both sides:
\(\frac{2z}{2}=\frac{-22}{2}\)
- step5: Divide the numbers:
\(z=-11\)
A solução da equação \(15-2z=37\) é \(z=-11\).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Mind Expander
To solve the equation \( 15 - 2z = 37 \), start by isolating the \( z \) term. First, subtract 15 from both sides to get: \[ -2z = 37 - 15 \] which simplifies to: \[ -2z = 22 \] Next, divide both sides by -2: \[ z = \frac{22}{-2} = -11 \] So, the solution is \( z = -11 \). To check your answer, substitute \( z \) back into the original equation: \[ 15 - 2(-11) = 15 + 22 = 37 \] This confirms that the solution \( z = -11 \) is correct!
