Chapter 1: Q28. (page 34)

Solve each equation.
$(3 \cdot 6 \div 2) v + 10 = 3^{2} v + 9$

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.

$(3 \cdot 6 \div 2) v + 10 = 3^{2} v + 9$ Original equation

Evaluate powers.

$\Rightarrow (3 \cdot 6 \div 2) v + 10 = 9 v + 9$

Divide 2 by 6 on the left side of the equation.

$\Rightarrow (3 \cdot 3) v + 10 = 9 v + 9$

Multiply 3 by 3 on the left side of the equation.

$\Rightarrow 9 v + 10 = 9 v + 9 .... False$

No matter what value is substituted for v, the left side of the equation will always be one less than the right side. So, the equation will never be true.

Therefore, there is no solution to this equation.

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Solve each equation.
$(3 \cdot 6 \div 2) v + 10 = 3^{2} v + 9$

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

Statistics

Calculus

Applied Mathematics

Pure Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation.(3·6÷2)v+10=32v+9

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

Statistics

Calculus

Applied Mathematics

Pure Maths

Discrete Mathematics

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Solve each equation.
$(3 \cdot 6 \div 2) v + 10 = 3^{2} v + 9$