Question

solve the following simultaneous equation by using graphical method.
2x+y=6,3x+4y=4​

Answer 1

Answer:

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Answer 2

The solution of equations are x= 4 and y=-2.

Given:

• Two simultaneous linear equations.
• $2x + y = 6 \: \: \text{and} \: \: 3x + 4y = 4$

To find:

• Solution of equations using graphical method.

Solution:

Step 1:

Find atleast two points of eq1

Put x=0

$2(0) + y = 6$

or

$y = 6$

Let it is point A(0,6)

Put y=0

$2x + 0 = 6$

or

$x = 3$

Let this is point B(3,0)

Mark these points on a graph paper and draw line.

Step 2:

Put x= 0 in eq2

$3(0) + 4y = 4$

or

$y = 1$

Let it is point C(0,1)

Put x=-4

$3(-4)+ 4y = 4$

or

$4y = 16$

or

$y = 4$

Let this is point D(-4,4)

Mark these points on a graph paper and draw line.

Step 3:

Both lines meet at a point P(4,-2)

here

x= 4 and y=-2

Thus,

The solution of equations are x=4 and y=-2.

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