Question

Solve the given equation graphically 2x+3y=8,x-2=-3

Answer 1

Step-by-step explanation:

$\sf 2x+3y=8\dots\dots(1)$

$\sf x-2y=-3\dots\dots (2)$

• From eq (1)

$\\ \qquad\qquad\sf:\longmapsto 2x+3y=8$

$\\ \qquad\qquad\sf:\longmapsto 3y=8-2x$

$\\ \qquad\qquad\sf:\longmapsto y=\dfrac {8-2x}{3}$

Table:-

$\boxed{\begin {array}{c|c|c|c}x & 1 & 4 &-2 \\ y& 2 &0 & 3\end{array}}$

$\therefore \sf The\:pairs\:are-(1,2),(4,0),(-2,3).$

• From eq (2)

$\\ \qquad\qquad\sf:\longmapsto x-2y=-3$

$\\ \qquad\qquad\sf:\longmapsto -2y=-3-x$

$\\ \qquad\qquad\sf:\longmapsto 2y=3+x$

$\\ \qquad\qquad\sf:\longmapsto y=\dfrac {3+x}{2}$

Table:-

$\boxed{\begin {array}{c|c|c|c}x & 1 & 3 & -1 \\ y& 2 & 3 &1\end{array}}$

$\therefore \sf The\:pairs\:are-(1,2),(3,3),(-1,1)$

$\therefore\underline{\underline{\sf (x,y)=(1,2)}}$