Question

Solve the following pair of linear equations by graphical
method.
10. 3x + 2y = 12 and 4x – y – 5 = 0.

Answer 1

FIRST, GRAB A GRAPH PAPER !!!!

well once u get ur hands on a graph paper we can begin !

so , first u have to convert these equations in the form of

y = mx + c or in other words u can say - find the value of y in terms of x

alright ! so here we have...

3x + 2y = 12 --------- eqn. 1

now lets write the value of y in terms of x...

   2y=12-3x

⇒ y = (12-3x)/2

now make a table ! not the furniture, duh!

so the kind of table we are making here is .....

finding the values of y when we put any value of x. we will try to avoid fractions and decimals as much as possible becuz those will be a lil hard to plot on the graph paper.

(refer to fig 1)

so we will find 3 values of y and get three co-ordinates through which the line having the equation 3x + 2y = 12  shall pass.

so we get the points -

A(0,6) , B(2,3) , C(4,0)

okay now grab ur graph sheet and draw ur x axis and y axis. and plot these points.

well , now let's look at the second equation that's given to us.

4x-y-5=0 ------------ eqn.2

yup, find the value of y in terms of x!

⇒4x-y=5

⇒y=5-4x

Okay ! so lets make the table again ...

put a value of x to get the respective value of y

(refer to fig 2)

alright , so the points we get are-

P(0,5) , Q(1,1) , R(-1,9)

Now , u can go ahead and plot this line on the same graph paper!

The point where they intersect is the point of solution .

(refer to fig 3)

Some important things to remember are-

first, do not forget to write down the scale !

second, always use a pencil.

third, make sure u name the points and write the equations over the lines on the graph paper itself.

And! i hope u find this helpful  :)

and if u need the solution done on the graph paper lemme know in the comment.