Question

Solve graphically x+3y=2 and 2x - y = 1.​

Answer 1

$\sf\huge\bold{\underline{\underline{{Solution}}}}$

GRAPHICAL REPRESENTATION

We have given two pair of linear equations and we have to find the value of x and y through graph.

For that firstly convert the Equation either in the form of x or y and then plot points into and obtained the coordinate . Put the coordinate into graph of both the Equation and we obtained a interesting point with the help of coordinate of both the Equation which will be our final solution.

➝x+3y= 2------(1)

➝2x-y= 1--------(2)

Taking first Equation

x+3y= 2

x= 2-3y

At y =0

➝x= 2

At y=1

➝x= -1

Now, we obtained coordinates (2,0)&(-1,1)of the Equation x+3y= 2

Now, plot this coordinates into graph.

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Taking second Equation

2x-y= 1

x= 1-y/2

At y = 0

➝x= 1/2

At y= 1

➝x= 0

Plot the coordinates (1/2,0)&(0,1) into the graph.

After plotting the coordinates of both the Equation we obtained a straight line graph which intersect at the points (0,2,0.6)

Hence,the solution of the given equation is

x= 0.2 & y= 0.6.

Answer 2

x= 0.2 & y= 0.6.

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