Math  /  Algebra

QuestionRearrange aky=ca k-y=c to make kk the subject.

Studdy Solution

STEP 1

1. The equation aky=c ak - y = c is a linear equation.
2. We need to rearrange the equation to solve for k k .
3. Basic algebraic operations such as addition, subtraction, and division will be used.

STEP 2

1. Isolate the term containing k k .
2. Solve for k k by performing algebraic operations.

STEP 3

Start with the equation:
aky=c ak - y = c
To isolate the term containing k k , add y y to both sides of the equation:
aky+y=c+y ak - y + y = c + y
This simplifies to:
ak=c+y ak = c + y

STEP 4

Now, to solve for k k , divide both sides of the equation by a a :
aka=c+ya \frac{ak}{a} = \frac{c + y}{a}
This simplifies to:
k=c+ya k = \frac{c + y}{a}
The subject of the equation is now k k :
k=c+ya k = \frac{c + y}{a}

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