Question

Solve graphically the simultaneous linear equation x-2y=1 and x+y=4

Answer 1

Step-by-step explanation:

Look at the process.

Do you Understand

Answer 2

Solution of equations are $\bf \purple{x = 3}$ and $\bf \purple{y = 1}$

Given:

• $x - 2y = 1 \: and \: x + y = 4$

To find:

• Solve graphically the simultaneous linear equations.

Solution:

Step 1:

Take x-2y=1 and find atleast two points to draw the line.

put y= 0

$x - 0 = 1$

or

$x = 1$

One point is (1,0).

Take x= 5

$5 - 2y = 1$

or

$2y = 4$

or

$y = 2$

Another point is (5,2).

Mark these points and draw line.

Step 2:

Take line x+y=4.

Put x= 0 then y= 4.

One point is (0,4).

Put y= 0 then x= 4.

Another point is (4,0).

Mark these points and draw line.

Step 3:

Both lines meet at point (3,1).

Thus,

$\bf x = 3 \: and \: y = 1$ is the solution of equations.

Remark*: Graph is attached.

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