Question

x - 2 Y = 0,. 3 X + 4 Y= 20 represent graphically​

Answer 1

Answer:

x - 2y = 0

x = 2y

points :

x = 2 , y = 1

x = 4 , y = 2

x = 6 , y = 3

3x + 4y = 20

points :

x = 4 , y = 2

x = 0 , y = 5

Hope it helps

Answer 2

Solution :

We have Equation,

$\tt \dagger \: \: \: x - 2y = 0. \: \: \: - (1)$

$\tt \dagger \: \: \: 3x + 4y = 20. \: \: \: - (2)$

Taking Equation (1)

$\tt \longmapsto x - 2y = 0.$

$\tt\longmapsto x = 2y \: \: \: - (3)$

$\rule{90}1$

When, Y = 1.

$\tt \longmapsto x = 2y.$

$\tt\longmapsto x = 2(1)$

$\tt \longmapsto x = 2.$

$\rule{90}1$

When, Y = 2.

$\tt \longmapsto x = 2(2)$

$\tt \longmapsto x = 4.$

$\rule{90}1$

When, Y = 3.

$\tt \longmapsto x = 2(3)$

$\tt\longmapsto x = 6.$

$\begin{array}{| c | c | c | c |} \cline{1-4} x & 6 & 4 & 2 \\ \cline{1-4} y & 3 & 2 & 1 \\ \cline{1-4} \end{array}$

$\rule{200}3$

Taking Equation, (2)

$\tt \longmapsto 3x + 4y = 20.$

$\tt\longmapsto 4y = 20 - 3x$

$\tt\longmapsto y = \dfrac{20 - 3x}{4}$

$\rule{90}1$

When, X = 0.

$\tt\longmapsto y = \dfrac{20 - 3x}{4}$

$\tt\longmapsto y = \dfrac{20 - 3(0)}{4}$

$\tt\longmapsto y = \frac{20}{4}$

$\tt\longmapsto y = 5.$

$\rule{90}1$

When, X = 4.

$\tt\longmapsto y = \dfrac{20 - 3(4)}{4}$

$\tt\longmapsto y = \dfrac{8}{4}$

$\tt\longmapsto y = 2.$

$\rule{90}1$

When, X = 6.

$\tt\longmapsto y = \dfrac{20 - 3(6)}{4}$

$\tt\longmapsto y = \dfrac{2}{4}$

$\tt\longmapsto y = \dfrac{1}{2}$

$\tt\longmapsto y = 0.5.$

$\begin{array}{| c | c | c | c |} \cline{1-4} x & 6 & 4 & 0 \\ \cline{1-4} y & 0.5 & 2 & 5 \\ \cline{1-4} \end{array}$

$\rule{200}3$

Note : Graph provide above.