Fractions and Decimals

Discrete Mathematics

Differential Equations

Solved on Dec 13, 2023

Solve for the value of $k$ in the equation $2+\frac{k}{3}=5$ .

STEP 1

Assumptions
1. We are given the equation $2+\frac{k}{3}=5$ .
2. We need to solve for the variable $k$ .

STEP 2

To isolate the variable $k$ , we first need to eliminate the constant term on the left side of the equation. We do this by subtracting 2 from both sides of the equation.
$2+\frac{k}{3}-2=5-2$

STEP 3

Perform the subtraction on both sides to simplify the equation.
$\frac{k}{3}=3$

STEP 4

Now, to solve for $k$ , we need to eliminate the fraction. We do this by multiplying both sides of the equation by the denominator of the fraction, which is 3.
$3 \times \frac{k}{3} = 3 \times 3$

STEP 5

On the left side, the 3 in the numerator and the denominator cancel each other out, leaving us with $k$ alone. On the right side, we perform the multiplication.
$k = 9$
The solution to the equation is $k = 9$ .

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