Problem 30 Solve using the addition princip... [FREE SOLUTION]

Chapter 2: Problem 30

Solve using the addition principle. Don't forget to check! $$ -6+y=-21 $$

Short Answer

Expert verified

y = -15

Step by step solution

Isolate the variable

The goal is to isolate the variable on one side of the equation. To do this, add 6 to both sides of the equation: -6 + y + 6 = -21 + 6

Simplify both sides

Now, we simplify both sides of the equation: y = -15

Verification

Substitute y = -15 back into the original equation to ensure the solution is correct: -6 + (-15) = -21 -21 = -21, which confirms the solution.

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Key Concepts

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

Solving Linear Equations

When solving linear equations, the main goal is to find the value of the unknown variable that makes the equation true. Linear equations look like this: $ ax + b = c $. The coefficient $ a $, the constant $ b $, and $ c $ can be any numbers.

To solve a linear equation, we need to perform operations to both sides of the equation to isolate the variable.

The given exercise is: $ -6 + y = -21 $. We will go step by step to solve it.

Here are some general steps to follow for solving linear equations:

Step 1: Simplify both sides of the equation, if needed.
Step 2: Use the addition or subtraction principle to move terms from one side to another.
Step 3: Use multiplication or division to solve for the variable.

Isolating Variables

Isolating variables means getting the variable by itself on one side of the equation. This usually involves moving other terms to the opposite side.

Let's start with the given equation: $ -6 + y = -21 $. Our goal is to get $ y $ by itself on one side. To do this, we need to add 6 to both sides.

-6 + y + 6 = -21 + 6

Adding 6 cancels out the -6 on the left side, leaving us with:

y = -15

Now, our variable $ y $ is isolated, and we have the solution $ y = -15 $.

Verification of Solutions

After finding the solution, it is important to verify it to ensure it is correct. Verification involves substituting the found value back into the original equation to check if both sides of the equation are equal.

Let's substitute $ y = -15 $ back into the original equation $ -6 + y = -21 $:

-6 + (-15) = -21

Simplifying this, we get:

-21 = -21

Since both sides of the equation are equal, our solution is verified correct.

Remember, always check your solutions to avoid mistakes and ensure accuracy.

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91影视

Solve using the addition principle. Don't forget to check! $$ -6+y=-21 $$

Short Answer

Step by step solution

Isolate the variable

Simplify both sides

Verification

Key Concepts

Solving Linear Equations

Isolating Variables

Verification of Solutions

One App. One Place for Learning.

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