Question

find the solution of equation x+y=5 and x+y =1​

Answer 1

Step-by-step explanation:

x−y=−5 ----- (1)

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

From equation (1) assume the value of x and y to satisfy the equation to zero.

x−y+5=0 ------ (3)

Put x=0,y=5 in equation (3)

0−5+5=0

0=0

Again put x=−2,y=3 in equation (3)

−2−3+5=0

−5+5=0

0=0

Now plotting (0,5),(−2,3) and joining them, we get a straight line.

From equation (2) assume the value of x and y to satisfy the equation to zero.

x+y−1=0 ----- (4)

Put x=0,y=1 in equation (4)

0+1−1=0

0=0

Again put x=−2,y=3 in equation (4)

−2+3−1=0

−3+3=0

0=0

Plotting (0,1),(−2,3) and joining them, we get another straight line.

These lines intersect at the point (−2,3) and therefore the solution of the equation is x=−2,y=3

Answer 2

given-

x+y+=5,

x+y=1.

=x²+y²=6