Question

Solve the following pair of linear equations graphically. Also write the observations.

(ii) x + 2y = 4 ; 2x + 4y = 12​

Answer 1

Given:

$\begin{gathered}x +2y =4 \\2x +4y = 12 \\ \end{gathered}$

To find: Solution of linear pair of equation graphically.

Solution:

Step 1: Find points to plot x+2y=4

Put x=0

0+2y=4

y=2

let it is point A(0,2)

Put y=0

x+0=4

x=4

let it is point B(4,0)

Plot points on graph,make a straight line by joining these points.

Step 2: Find points to plot 2x+4y=12

Put x=0

0+4y=12

y= 3

let it is point C(0,3)

Put y=0

2x+0=12

x=6

let it is point D(6,0)

Plot points on graph,make a straight line by joining these points.

Graph is attatched.

It is clearly shown that both the lines are parallel,they never meet each other.

Therefore,these linear equation has no solution.

Final answer:

Given pair of linear equations have no solution.

System of equations is inconsistent.

To learn more on brainly:

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