Chapter 2: Q19. (page 110)

Solve each equation. Check your solution. (Lesson 2-4)
$\frac{z + 6}{3} = \frac{2 z}{4}$

Short Answer

Expert verified

$z = 12$ is the solution of the given equation.

Step by step solution

Step 1. Given equation.

$\frac{z + 6}{3} = \frac{2 z}{4}$

Step 2. Description of step.

The given equation can be solved as,

$\frac{z + 6}{3} = \frac{2 z}{4} \frac{z + 6}{3} = \frac{z}{2} (z + 6) \times 2 = z \times 3 \Rightarrow 2 z + 12 = 3 z \Rightarrow 3 z - 2 z = 12 \Rightarrow z = 12$

Step 3. Check solution.

In order to check the solution, put the value of z back in the given equation and see if it satisfies the equation, i.e. of left hand side is equals to right hand side, as:

$\frac{z + 6}{3} = \frac{2 z}{4} \Rightarrow \frac{(12) + 6}{3} = \frac{2 (12)}{4} \Rightarrow \frac{18}{3} = \frac{24}{4} \Rightarrow 6 = 6 \Rightarrow true$

Hence, the solution $z = 12$ satisfies the equation.

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Solve each equation. Check your solution. (Lesson 2-4)
$\frac{z + 6}{3} = \frac{2 z}{4}$

Short Answer

Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

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Step by step solution

Step 1. Given equation.

Step 2. Description of step.

Step 3. Check solution.

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Most popular questions from this chapter

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Solve each equation. Check your solution. (Lesson 2-4)
$\frac{z + 6}{3} = \frac{2 z}{4}$