Chapter 3: Q21. (page 133)

Solve the equation. Check your solution.
$3 x + 6 = 3 (x + 2)$

Short Answer

Expert verified

The solution for the equation $3 x + 6 = 3 (x + 2)$ is all real numbers.

Step by step solution

– Use distributive property

The distributive property is given as $a (b + c) = a b + a c$ .

The given equation is $3 x + 6 = 3 (x + 2)$ .

So,

$\begin{matrix} 3 x + 6 = 3 (x + 2) \\ 3 x + 6 = 3 x + 6 (Usedistributiveproperty) \end{matrix}$

– Combine the like terms

Combine the like terms.

$\begin{matrix} 3 x - 3 x + 6 = 3 x - 3 x + 6 (subtract3xfrombothsides) \\ 0 + 6 = 0 + 6 \\ 6 = 6 \end{matrix}$

Since $6 = 6$ is true, the solution of the equation are all real numbers.

– Check the solution

To check the solution, choose any real number as a value of x and substitute in the equation $3 x + 6 = 3 (x + 2)$ .

Choose $x = 1$ .

Then, substitute $x = 1$ in $3 x + 6 = 3 (x + 2)$ and check the result.

\begin{matrix} 3 \times 1 + 6 = 3 (1 + 2) \\ 3 + 6 = 3 \times 3 \\ 9 = 9 \end{matrix}

As the left-hand side is equal to right hand side, this signifies that the solution is correct.

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Solve the equation. Check your solution.
$3 x + 6 = 3 (x + 2)$

Short Answer

Step by step solution

– Use distributive property

– Combine the like terms

– Check the solution

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Solve the equation. Check your solution.3x+6=3x+2

Short Answer

Step by step solution

– Use distributive property

– Combine the like terms

– Check the solution

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Discrete Mathematics

Decision Maths

Probability and Statistics

Statistics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve the equation. Check your solution.
$3 x + 6 = 3 (x + 2)$