Question

find the solution of the pair of linear equations by graphical method x+y=5 & 2x+y=7​

Answer 1

for equation x + y = 5

plot (x, y) = 1,4

(x,y) = 2,3

for equation 2x + y = 7

plot (x,y) = 2,3

(x, y) = (3, 1)

Answer 2

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

➙x+y= 5------(1)

➙2x+y= 7-----(2)

Taking first Equation

x+y=5

➙x=5-y

At y= 0

➙x= 5

At y=1

➙x= 4

Plot the points (5,0) & (4,1) into graph

-----------------------------------------------------------

2x+y= 7

➙y= 7-2x

At x= 0

➙y= 7

At x=1

➙y= 5

Plot the points (0,7) & (1,5) into graph

After plotting the points we obtained graph is in a straight line which intersect at (2,3)

Hence,the solution of the given equation is (2,3)

Which means x= 2 & y= 3