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Mathematics > Algebra > Learn Linear equations in 2 variables

Linear equations in 2 variables

Linear equations in 2 variables relates to CBSE - Class 9/Mathematics/Algebra

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Linear equations in 2 variables Lessons

Solving Linear Wquation in two Varibles By Substitution Method
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Linear equations in 2 variables Questions

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Answered on 18/04/2024 Learn CBSE - Class 9/Mathematics/Algebra/Linear equations in 2 variables

6.The taxi fare in a twon is Rs 10 for the first kilometre and Rs 6 per km for the subsequent distance....
6.The taxi fare in a twon is Rs 10 for the first kilometre and Rs 6 per km for the subsequent distance. Taking the distance as �x� km and total fare as Rs. y, write a linear equation for this information, what will be the total fare for 15 km?

Nazia Khanum

Writing a Linear Equation for Taxi Fare Given Information: Initial fare: Rs 10 for the first kilometre Subsequent fare: Rs 6 per km Distance: xx km Total fare: Rs yy Formulating the Linear Equation Let's denote: xx: Distance travelled in kilometres yy: Total fare in rupees Equation for Total Fare: The... read more

Writing a Linear Equation for Taxi Fare

Given Information:

  • Initial fare: Rs 10 for the first kilometre
  • Subsequent fare: Rs 6 per km
  • Distance: xx km
  • Total fare: Rs yy

Formulating the Linear Equation

Let's denote:

  • xx: Distance travelled in kilometres
  • yy: Total fare in rupees

Equation for Total Fare:

The total fare can be calculated as the sum of the initial fare and the fare for the subsequent distance.

So, the equation can be expressed as:

y=10+6(x−1)y=10+6(x−1)

Where:

  • x−1x−1: Represents the distance after the first kilometre

Calculating Total Fare for 15 km

Now, let's substitute x=15x=15 into the equation to find the total fare for a 15 km journey.

y=10+6(15−1)y=10+6(15−1) y=10+6(14)y=10+6(14) y=10+84y=10+84 y=94y=94

Answer:

The total fare for a 15 km journey would be Rs. 94.

 
 
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