Question

Draw graph of x + y = 2 and 2x + y = 1.​

Answer 1

Step-by-step explanation:

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Answer 2

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

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+y= 2-----(1)

➙2x+y= 1-----(2)

Solving equation 1

y= 2-x

➙At x=0

y= 2

➙At x= 2

y = 0

Now,we obtained the coordinates (0,2)&(2,0)

Put this coordinates into the graph.

Solving equation 2

y= 1-2x

➙At x= 0

y= 1

➙At x= 0.5

y= 0

We obtained the coordinates (0,1)&(0.5,0).

Allocate this coordinates into the graph.

After plotting the coordinates of the Equation we obtained a straight line graph which intersect at the points (-1,3).

Hence,the solution of the Given pair of linear equations is x = -1 & y= 3.

Check:

➙x+y=2

Taking LHS

➙-1+3

=2

Since,LHS = RHS(Verified).