Simultaneous Linear Equation in Two Variables

If the pair of values of two variables involved in a pair of equations satisfies both the equations, those equations are called linear simultaneous equation. The method of obtaining the value of the two variables (order pairs) which satisfy both the equation is known as 'solution of equations'.

Summary

If the pair of values of two variables involved in a pair of equations satisfies both the equations, those equations are called linear simultaneous equation. The method of obtaining the value of the two variables (order pairs) which satisfy both the equation is known as 'solution of equations'.

Things to Remember

  • Simultaneous equations are broadly used to find two unknown quantities.
  • By solving the equations we can find the unknown quantities.
  • In the application of simultaneous equations, the coefficient of x is the same in both equations.
  • We subtract one equation from other to eliminate x.
  • We can make a pair of simultaneous equations under the two given conditions.     

MCQs

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Subjective Questions

Q1:

Define folk culture.

 


Type: Very_short Difficulty: Easy

Show/Hide Answer
Answer: <p>The culture of Nepal is rich and unique.Traditional songs, dances, music, art, folklore, tales, proverbs, beliefs and legends are some units of folk culture. It is passed from generation to generation.</p>

Q2:

Mention some folk dances of Nepal.

 


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <p>Folk dances are the dances developed by groups of people that reflect the traditional life of the people. A traditional dance of a particular people or areas is called a folk dance. Some folk dances of Nepal are listed below:</p>
<p>Tamang Selo:<br />Tamang Selo is usually performed by the Tamangs. This dance is performed beating a damphu a solo or in a group. This dance is also known as damphu-natch. In Tamang language, this dance is call tam-syaba.</p>
<p>Chutki<br />This dance is generally performed by Chhetris, Brahmins, Gurungs and Magars. The Chhetris and Brahmins perform Chutki to the rhythmic beats of Khaijadi.</p>
<p>Dhan Nac<br />This is the dance of Limbus. Young boys and girls hold each other and control each other from side to side and swing their feet in the beat of Chyabrung.</p>
<p>Juhari or Dohori<br />This dance is also known as gambling or dual dance. This dance is performed in a group during festivals and fairs and in rodhighar.</p>
<p>Maruni Dance<br />Maruni is one of the most loved dances in Nepal. A male dancer disguises as women. He wears the long frock-like dress.</p>

Q3:

Mention any three types of folk musical instruments. What kinds of musical instruments are these?

 


Type: Long Difficulty: Easy

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Answer: <p>Sarangi</p>
<p>Narasingha</p>
<p>Flute</p>
<p>Tyampki</p>
<p>Dhol</p>
<p>Binayo</p>
<p>Three types of folk musical instruments are listed below:</p>
<p>Madal<br />Madal is one of the most popular musical instruments of the Nepalese community. This musical instrument was played first by Magar community. Later on, it gained popularity throughout the country.</p>
<p>Sarangi<br />Sarangi is the traditional musical instrument of Gandarva community of Kaski district. Sarangi is made of the khiri wood. There are four wires and played by rubbing on the wire.</p>
<p>Flute/Murali<br />Flute is made by making a hole in a small peace of bamboo. Flute is also practiced throughout the country. Bansuri or Murali is played by blowing air with our mouth.</p>
<p>These are the traditional musical instruments.</p>

Q4:

Make a list of various folk songs that you have listened.


Type: Long Difficulty: Easy

Show/Hide Answer
Answer: <ol>
<li>Resham firiri, resham&nbsp;firiri.</li>
<li>Mauri ta ghumchha ras khana, aakha ta ghumchha eh nani, ful jasti nani ma.</li>
<li>Kafal gedi kutukai, vaye vutukaii.</li>
<li>Wari jamuna, paari jamuna.</li>
<li>Hos gara haii soltinee, tungba tanya chhu.</li>
<li>Mohani laagla hai etc.</li>
</ol>

Q5:

Write some typical Nepali folk dances that are prevalent  in our Nepalese society ?


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Some of typical Nepali folk dances that are prevalent in our Nepalese society are Maruni, Kaura, Balan, Gharu, Khyali, Tamang selo, Lakhe Naach,&nbsp;Deuda etc</p>

Q6:

Mention some of the folk musical instruments  of Nepal ?


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Some of the folk musical Instruments of Nepal are :</p>
<ul>
<li>Madal</li>
<li>Sahanai</li>
<li>Saarangi etc.</li>
</ul>

Q7:

Define Folk Musical Instruments ?


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Folk Musical Instruments are those instruments which are accompanied by the traditional folk songs sung during various occasions.</p>

Q8:

Mention some of the  folk Music  of Nepal that are  songs of Prayer ?


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>The folk Music of Nepal are :</p> <ul><li>Mangal</li> <li>Chudkila</li> <li>Hymns</li> </ul><p></p>

Q9:

Define a folk dance ?


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>A folk dance is a special dance usually belonging to the peasant and rural community that depicts the daily life, sufferings, social, cultural and religious aspects of peasants, simple or quaint people who are usually illiterate.</p>

Q10:

What do you mean by folk music ?


Type: Short Difficulty: Easy

Show/Hide Answer
Answer: <p>Folk music is a traditional and generally rural music that originally was passed down through families or small social groups.</p>
<p>&nbsp;</p>

Q11:

 What do you mean by folk culture?


Type: Very_short Difficulty: Easy

Show/Hide Answer
Answer: <p>Folk culture refers to unifying expressive components of everyday life as enacted by localized, tradition-bound people.</p>

Q12:

 Mention some of the folk dances of Nepal.


Type: Very_short Difficulty: Easy

Show/Hide Answer
Answer: <p>Some of the folk dances of Nepal are as follows:</p>
<ul>
<li>Maruni</li>
<li>Balan</li>
<li>Gharu</li>
<li>Khyali etc.</li>
</ul>

Videos

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Our Folk Culture
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Simultaneous Linear Equation in Two Variables

Simultaneous Linear Equation in Two Variables

Solving Simultaneous Linear Equations

Let us consider a problem related to our daily life,
The total cost of 2 kg of tea and 3 kg of coffee is Rs. 725. If 3 kg of tea and 2 kg of coffee are bought, the cost becomes Rs. 75 less. What is the per kg price of each?

Here,

\begin{align*} i.\: \text{Combined cost of 2kg tea and 3 kg coffee} &= Rs. 725 \\ ii. \: \text{Total cost of 3 kg tea and 2 kg coffee} &= Rs. 725 - Rs. 75 \\ &= Rs. 650 \\ \end{align*}

Here are two prices which should be found.
Let the cost of 1 kg of tea = Rs. x
& the cost of 1 kg of coffee = Rs. y
Then, 2x + 3y = 725 ........... (i)
3x + 2y = 650 ...........(ii)

There are two variables x and y in the above pair of equations. The given pair of linear equations represents a pair of straight lines while plotting on the graph. The method of obtaining the value of the two variables (order pairs) which satisfy both the equation is known as 'solution of equations'. If the pair of values of two variables involved in a pair of equations satisfies both the equations, those equations are called linear simultaneous equation.

.

Lesson

Algebra

Subject

Compulsory Mathematics

Grade

Grade 10

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