Question

Q1.Find the solution of the following pair of linear equations graphically: (3)

x – y = 5 and x + y = 7​

Answer 1

Explanation:

We have given two Equations

how to solve

step 1: Convert the whole Equation into x or y form

step 2: Plot points and hence we will find its coordinates.

Step 3: Now,Plot the coordinates of both the Equation into the graph.

Step : The line where intersect is their intersecting points and hence from here we will find the x or y.

➙x-y= 5-----(1)

From equation 1

x= 5+y

Put y= 0

x= 5

Put y = -5

x= 0

Now, we obtained the coordinates (5,0)&(0,-5).

Put these coordinates into the graph.

➙x+y= 7------(2)

x= 7-y

put y=0

x= 7

put y = 7

x= 0

We obtained the coordinates (7,0)&(0,7)

Now, plot these coordinates into the graph.

After plotting the coordinates of both the Equations we obtained a straight line graph which intersect at (6,1)

Hence, the solutions of the given pair of linear equations is x = 6 & y= 1.