Chapter 1: Q29. (page 34)

Solve each equation.
$6 k + (3 \cdot 10 - 8) = (2 \cdot 3) k + 22$

Short Answer

Expert verified

There is no solution to this equation.

Step by step solution

Step 1. Definition.

Equation: An equation is a mathematical statement that two expressions are equal. An equation will always contain an equal sign with an expression on each side.

Step 2. Order of Operations.

BODMAS

B – Brackets First

O – Orders (i.e. Powers and Square Roots etc.)

D – Division

M – Multiplication

A – Addition

S – Subtraction

Step 3. Apply BODMAS Rule.

$6 k + (3 \cdot 10 - 8) = (2 \cdot 3) k + 22$ Original equation

Multiply 3 by 10 on the left side and 2 by 3 on the right side of the equation.

$\Rightarrow 6 k + (30 - 8) = 6 k + 22$

Subtract 8 from 30 on the left side of the equation.

$\Rightarrow 6 k + 22 = 6 k + 22 ... True.$

No matter what value is substituted for u, the left side of the equation will always be equal to the right side. So, the equation will always be true.

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Solve each equation.
$6 k + (3 \cdot 10 - 8) = (2 \cdot 3) k + 22$

Short Answer

Step by step solution

Step 1. Definition.

Step 2. Order of Operations.

Step 3. Apply BODMAS Rule.

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Solve each equation.6k+(3·10-8)=(2·3)k+22

Short Answer

Step by step solution

Step 1. Definition.

Step 2. Order of Operations.

Step 3. Apply BODMAS Rule.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Decision Maths

Theoretical and Mathematical Physics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Solve each equation.
$6 k + (3 \cdot 10 - 8) = (2 \cdot 3) k + 22$