Question

2x-y=4: x-y=1 solve it graphically this linear equation

Answer 1

Given :

We have pair of linear equation,

• 2x - y = 4. and x - y = 1.

Solution :

Let's

$\tt \fbox {2x - y = 4.} \: \: \: \: \: - (1) \\ \tt \fbox{ x - y = 1.} \: \: \: \: \: - (2)$

Taking Equation, (1)

$\tt \dagger \: \: \large When \: x = 2.$

$\tt \longmapsto 2x - y = 4.$

$\tt \longmapsto 2(2) - y = 4.$

$\tt \longmapsto 4 - y = 4.$

$\tt \longmapsto y = 0.$

$\rule{90}1$

$\tt \dagger \: \: \large When \: x = 1.$

$\tt \longmapsto 2x - y = 4.$

$\tt\longmapsto 2(1) - y = 4.$

$\tt\longmapsto - y = 4 - 2.$

$\tt \longmapsto y = - 2.$

$\rule{90}1$

$\tt \dagger \: \: \large When \: x = 0.$

$\tt \longmapsto 2x - y = 4.$

$\tt\longmapsto 2(0) - y = 4.$

$\tt\longmapsto - y = 4.$

$\tt\longmapsto y = - 4.$

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

$\rule{200}3$

Taking Equation (2)

$\tt \longmapsto x - y = 1.$

$\tt \dagger \: \: \large When \: x = 1.$

$\tt \longmapsto 0 - y = 1.$

$\tt \longmapsto - y = 1.$

$\tt\longmapsto y = - 1.$

$\rule{90}1$

$\tt \dagger \: \: \large When \: x = 2.$

$\tt\longmapsto x - y = 1.$

$\tt\longmapsto (2) - y = 1$

$\tt\longmapsto - y = 1 - 2$

$\tt\longmapsto - y = - 1$

$\tt\longmapsto y = 1.$

$\rule{90}1$

$\tt \dagger \: \: \large When \: x = 1.$

$\tt\longmapsto x - y = 1.$

$\tt\longmapsto (1) - y = 1$

$\tt\longmapsto - y = 0$

$\tt\longmapsto y = 0.$

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

$\rule{200}3$

Note : Graph provide in attachment, where as, red color show Equation (2) and green color show Equation (1).

Answer 2

Answer:

y=2,x=-1

Step-by-step explanation: