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cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation.
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cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this sta...
Linear Equation in Two Variables
A linear equation is an equation in which the highest power of the variable involved is 1. The general form of a linear equation in two variables x and y is given by:
ax + by + c = 0
where a, b, and c are constants.
Problem Statement
The cost of book (x) exceeds twice the cost of pen (y) by Rs. 10.
Linear Equation
Let the cost of a pen be y.
Then, the cost of a book will be (2y + 10).
Hence, the linear equation becomes:
x = 2y + 10
This equation can also be written as:
2y - x = -10
This is a linear equation in two variables, y and x, where the coefficients of y and x are 2 and -1 respectively.
Solving the Equation
To solve this equation, we need to find the values of x and y that satisfy this equation.
For this, we can plot the graph of this equation on a graph paper and find the point of intersection with the x-axis and y-axis.
Alternatively, we can also use the method of substitution or elimination to find the values of x and y.
Conclusion
In conclusion, the statement "cost of book (x) exceeds twice the cost of pen (y) by Rs. 10" can be expressed as a linear equation in two variables, y and x, where the coefficients of y and x are 2 and -1 respectively. The solution of this equation gives us the values of x and y that satisfy this equation.
A linear equation is an equation in which the highest power of the variable involved is 1. The general form of a linear equation in two variables x and y is given by:
ax + by + c = 0
where a, b, and c are constants.
Problem Statement
The cost of book (x) exceeds twice the cost of pen (y) by Rs. 10.
Linear Equation
Let the cost of a pen be y.
Then, the cost of a book will be (2y + 10).
Hence, the linear equation becomes:
x = 2y + 10
This equation can also be written as:
2y - x = -10
This is a linear equation in two variables, y and x, where the coefficients of y and x are 2 and -1 respectively.
Solving the Equation
To solve this equation, we need to find the values of x and y that satisfy this equation.
For this, we can plot the graph of this equation on a graph paper and find the point of intersection with the x-axis and y-axis.
Alternatively, we can also use the method of substitution or elimination to find the values of x and y.
Conclusion
In conclusion, the statement "cost of book (x) exceeds twice the cost of pen (y) by Rs. 10" can be expressed as a linear equation in two variables, y and x, where the coefficients of y and x are 2 and -1 respectively. The solution of this equation gives us the values of x and y that satisfy this equation.
Community Answer
cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this sta...
Let cost of notebook=x
let cost of pen =y
According to question
x=2
x - 2y=0
standard from= x- 2y+0=0
let cost of pen =y
According to question
x=2
x - 2y=0
standard from= x- 2y+0=0
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cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables?
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cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables?.
cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for cost of book (x) exceeds twice the cost of pen (y) by Rs.10 . this statement can be expressed as linear equation. Related: Ex 4.1 NCERT Solutions - Linear Equations in Two Variables?.
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