Chapter 3: Q6. (page 145)

Choose the letter of the term that best matches each phase.
6. A method of solving equations in which one variable is eliminated when the two equations are combined

Short Answer

Expert verified

A method of solving equations in which one variable is eliminated when the two equations are combined is (e) eliminated method.

Step by step solution

Step-1 –Concept of elimination method

The elimination method is where you actually eliminated one of the variables by adding the two equations. In this way, we eliminate one variable so we can solve other variables.

Step-2 –Example of elimination method

Let the equations

$\begin{matrix} x + y = 7 \dots (1) \\ x - y = 8 \dots (2) \end{matrix}$

Add $(1)$ and $(2)$ , we get

$\begin{matrix} 2 x = 15 \\ x = \frac{15}{2} \end{matrix}$

Now, subtract $(1)$ and $(2)$ we get,

$\begin{matrix} 2 y = - 1 \\ y = - \frac{1}{2} \end{matrix}$

Step-3–Match the term with the phrase

Hence, by the above data we can say,” a method of solving equations in which one variable is eliminated when the two equations are combined is eliminated method.

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.

Choose the letter of the term that best matches each phase.
6. A method of solving equations in which one variable is eliminated when the two equations are combined

Short Answer

Step by step solution

Step-1 –Concept of elimination method

Step-2 –Example of elimination method

Step-3–Match the term with the phrase

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Probability and Statistics

Calculus

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Choose the letter of the term that best matches each phase.6. A method of solving equations in which one variable is eliminated when the two equations are combined

Short Answer

Step by step solution

Step-1 –Concept of elimination method

Step-2 –Example of elimination method

Step-3–Match the term with the phrase

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Mechanics Maths

Probability and Statistics

Calculus

Decision Maths

Statistics

Study anywhere. Anytime. Across all devices.

Choose the letter of the term that best matches each phase.
6. A method of solving equations in which one variable is eliminated when the two equations are combined