- Trending Categories
- Data Structure
- Networking
- RDBMS
- Operating System
- Java
- iOS
- HTML
- CSS
- Android
- Python
- C Programming
- C++
- C#
- MongoDB
- MySQL
- Javascript
- PHP

- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who

# Write an equation of a line passing through the point representing solution of the pair of linear equations $ x+y=2 $ and $ 2 x-y=1 $. How many such lines can we find?

Given:

Given pair of linear equations is $x + y = 2$ and $2x - y = 1$.

To do:

We have to write an equation of a line passing through the point representing solution of the given pair of linear equations.

Solution:

$x+y=2$

$y=2-x$...(i)

Substituting $y=2-x$ in $2x - y = 1$, we get,

$2x-(2-x)=1$

$2x-2+x=1$

$3x=2+1$

$3x=3$

$x=\frac{3}{3}$

$x=1$

Substituting $x=1$ in $y=2-x$, we get,

$y=2-1$

$y=1$

Therefore, the solution of the given pair of equations is $(x, y)=(1, 1)$.

We know that,

There are infinite lines passing through a point $(x, y)$.

Therefore, there are infinite lines passing through the solution of the given pair of equations $(1, 1)$.

The general form of a linear equation in two variables is $ax+by+c=0$.

An equation of a line passing through the point representing solution of the pair of linear equations $x + y = 2$ and $2x - y = 1$ is $4x-y=3$.

- Related Questions & Answers
- C program to find the solution of linear equation
- Sum of the Series 1 + x/1 + x^2/2 + x^3/3 + .. + x^n/n in C++
- Sum of the series 2^0 + 2^1 + 2^2 +...+ 2^n in C++
- Program to find line passing through 2 Points in C++
- Sum of series 1^2 + 3^2 + 5^2 + . . . + (2*n – 1)^2
- Find x, y, z that satisfy 2/n = 1/x + 1/y + 1/z in C++
- Find maximum among x^(y^2) or y^(x^2) where x and y are given in C++
- Sum of the series 1 + (1+2) + (1+2+3) + (1+2+3+4) + ... + (1+2+3+4+...+n) in C++
- Sum of the series 1 / 1 + (1 + 2) / (1 * 2) + (1 + 2 + 3) / (1 * 2 * 3) + … + upto n terms in C++
- Program to find sum of 1 + x/2! + x^2/3! +…+x^n/(n+1)! in C++
- Sum of series 1^2 + 3^2 + 5^2 + . . . + (2*n - 1)^2 in C++
- Solve a linear matrix equation or system of linear scalar equations in Python
- Find the value of the function Y = (X^6 + X^2 + 9894845) % 981 in C++
- Evaluate a 2-D polynomial on the Cartesian product of x and y in Python
- Construct a frequency array of digits of the values obtained from x^1, x^2, ....., x^n in C++
- Evaluate a 2-D Chebyshev series on the Cartesian product of x and y in Python