Chapter 2: Q 12 (page 111)

In the following exercises, solve each linear equation. $- 2 (11 - 7 x) + 54 = 4$

Short Answer

Expert verified

The answer is $x = - 2$ .

Step by step solution

Step 1. Given information

The equation is $- 2 (11 - 7 x) + 54 = 4$

Find the value of x and check.

Step 2. Calculation

Simplify the equation by distribution $- 2 (11 - 7 x) + 54 = 4$

role="math" localid="1644371180678" $- 22 + 14 x + 54 = 4$

Combine like terms

role="math" localid="1644371248211" $14 x = 4 - 32 14 x = - 28$

Divide by 14 on both sides

$x = - 2$

Step 3. Check

Substitute $x = - 2$ in the equationrole="math" localid="1644371355661" $- 2 (11 - 7 x) + 54 = 4$

$- 2 (11 - 7 (- 2)) + 54 = 4 - 2 (11 + 14) + 54 = 4 - 50 + 54 = 4 4 = 4$

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In the following exercises, solve each linear equation. $- 2 (11 - 7 x) + 54 = 4$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Check

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In the following exercises, solve each linear equation.-211-7x+54=4

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculation

Step 3. Check

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Logic and Functions

Discrete Mathematics

Decision Maths

Calculus

Study anywhere. Anytime. Across all devices.

In the following exercises, solve each linear equation. $- 2 (11 - 7 x) + 54 = 4$