Question

Solve pair of linear equation $5x-y=5$ and $3x-2y=-4$ by graphical method. Also find cordintaes of point where these lines intersect y-axis.

Answer 1

$\Rightarrow$ In order to represent the pair of linear equation graphically we need two points on the line representing each equation.

$\Rightarrow$ Prepare the proper table of at least 2 solutions for both the equations.

$5x-y=5$

For $x=0$,

$\Rightarrow$ $5\left(0\right)-y=5$

$\Rightarrow$ $0-y=5$

$\Rightarrow$ $y=-5$

So we get co-ordinates $(0,-5)$.

For $y=0$

$\Rightarrow$ $5x-0=5$

$\Rightarrow$ $5x=5$

$\therefore$ $x=1$

So we get co-ordinates $(1,0)$.

$x$	$0$	$1$
$y$	$-5$	$0$

$3x-2y=-4$

For $x=0$

$\Rightarrow$ $3\left(0\right)-2y=-4$

$\Rightarrow$ $-2y=-4$

$\Rightarrow$ $y=2$

So we get co-ordinates $(0,2).$

For $y=5$

$\Rightarrow$ $3x-2\left(5\right)=-4$

$\Rightarrow$ $3x-10=-4$

$\Rightarrow$ $3x=6$

$\Rightarrow$ $x=2$

So we get co-ordinates $(2,5)$

$x$	$0$	$2$
$y$	$2$	$5$

The given pair of linear equations intersect each other at point $D(2,5).$

The coordinates of the points where the line intersect $y-axis$ are $A(0,-5)$ and $C(0,2).$