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Chapter 1: Problem 95

Determine whether the given number is a solution of the equation. $$20-\frac{1}{3} z=\frac{1}{2} z ; 12$$

Short Answer

Expert verified
The provided number, 12, is not a solution to the equation.

Step by step solution

01

Substitute the given number for z in the equation

Put 12 in place of \(z\) in the equation: \(20-\frac{1}{3}*(12) = \frac{1}{2}*12\).
02

Simplify the equation

On the left side of the equation, we need to multiply \(-\frac{1}{3}\) and 12. As multiplication comes before subtraction in the order of operations, we do this first. This gives us: \(20 - 4 = 6\). The right side simplifies to 6.
03

Check if both sides of the equation are equal

After simplification, both sides of the equation become 16 = 6, which is not true. Therefore, the number 12 is not a solution to the equation.

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