Solving for a Variable in a Linear Equation

MathematicsLinear EquationsEasySTEM

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$$4T - 8D = 12H$$

The given equation can be rewritten as

$T = aD + bH$, where $a$ and $b$ are constants. What is the value of $a$ ?

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Step by Step Written Solution

1
Step 1

Let's solve this algebra problem. We are given an equation and asked to rewrite it to find the value of the constant a.

Solving for a Constant

2
Step 2

Here is our starting equation: four T minus eight D equals twelve H.

$$4T - 8D = 12H$$
3
Step 3

The problem asks us to rewrite it in the form T equals a D plus b H. This means we first need to isolate the term with T on the left side.

Target Form: $T = aD + bH$

4
Step 4

To do that, let's add eight D to both sides of the equation.

5
Step 5

Now, we have four T on the left. To isolate T completely, we need to divide every term in the entire equation by four.

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About This Question

Subject
Mathematics
Topic
Linear Equations
Difficulty
Easy
Exam
STEM
Question Type
Open Ended

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