Question

elve the simultaneous equation 2x + y = 8; y = 1+x/2. graphically ​

Answer 1

Solution of simultaneous linear equations 2x + y = 8; y = 1+x/2 is (2.8,2.4)

Graph is attached.

Given:

• A pair of linear equation in two variables.
• 2x+y=8 and y = 1+x/2

To find:

• Solve graphically.

Solution:

Step 1:

Write atleast 2-3 points of 2x+y= 8.

$y = - 2x + 8$

Put different values of x and find y.

x_y

4_0

2_4

0_8

Thus,

points are (4,0), (2,4) and (0,8)

Step 2:

Write atleast 2-3 points of y= 1+x/2

Put different values of x and find y.

x_y

0_1

2_2

4_3

Thus,

points are (0,1), (2,2) and (4,3).

Step 3:

Plot these points on the graph and draw two lines.

The point of intersection of these lines is the solution of linear equations.

Graph is attached.

Thus,

x= 2.8 and y= 2.4 is the solution.

Learn more:

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

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