Lines intersection calculator

This online calculator finds and displays the point of intersection of two lines given by their equations.

Intersection of two lines calculator

( with detailed step by step explanation )
show help ↓↓ examples ↓↓

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Input lines in:

Enter first line:

$x$ $y$ $=0$

$y~=~$ $x$

Enter second line:

$x$ $y$ $=0$

$y~=~$ $x$

NOTE: To input square root symbol type letter 'r'. For example: $\color{blue}{\text{ r13 } = \sqrt{13}} $ ,$\color{blue}{\text{ 2r3 } = 2\sqrt{3}} $ ,$\color{blue}{ \text{ 2r(3/5) }= 2 \sqrt{\frac{3}{5}}} $.

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examples

example 1:ex 1:

Find the intersection of the lines $y = 2x - 1$ and $y = - \frac{1}{3}x + 4$.

example 2:ex 2:

Find the coordinates of the intersection of the lines $2x + y = 1$ and $x - y = 2$.

example 3:ex 3:

Find the coordinates of the intersection of the lines $-\frac{1}{2}x + \frac{1}{3}y = 2$ and $\frac{5}{2}x - y = \frac{1}{4}$.

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