Problem 52 Solve using the multiplication p... [FREE SOLUTION]

Chapter 2: Problem 52

Solve using the multiplication principle. Don't forget to check! $$ -3.4 t=-20.4 $$

Short Answer

Expert verified

The solution is $ t = 6 $.

Step by step solution

- Isolate the variable

To isolate the variable, divide both sides of the equation by -3.4. The goal is to get $ t $ by itself. \[ t = \frac{-20.4}{-3.4} \]

- Simplify the expression

Simplify the right-side expression by performing the division: \[ t = 6 \]

- Check the solution

To verify the solution, substitute $ t = 6 $ back into the original equation and check if both sides are equal. \[ -3.4 \times 6 = -20.4 \] Since both sides match, the solution is correct.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

solving equations

Solving equations involves finding the value of an unknown variable that makes the equation true. Let's take a look at the equation given: i.e., $$-3.4t = -20.4$$. Here, the variable is $t$, and our goal is to find the value of $t$. Solving this equation correctly relies on following algebraic principles to achieve a balanced equation, where both sides are equal. Basic principles like combining like terms, using inverse operations, and ensuring each step maintains the equation's equality are crucial. When solving any equation, it鈥檚 essential to work systematically to avoid mistakes and get the desired result effectively.

isolating variables

When solving an equation, isolating the variable means getting the unknown (in this case, $t$) alone on one side of the equation. This step involves undoing any operations that surround the variable. Here鈥檚 how it's done for our exercise:

First, notice that

(-3.4t = -20.4)

. To isolate \(t\), divide both sides by \(-3.4\). This action 'undoes' the multiplication by \(-3.4\).This is calculated as:
Simplify to get:
By isolating the variable, we now know that \(t=6\).

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91影视

Solve using the multiplication principle. Don't forget to check! $$ -3.4 t=-20.4 $$

Short Answer

Step by step solution

- Isolate the variable

- Simplify the expression

- Check the solution

Key Concepts

solving equations

isolating variables

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