Question

Solve 99x + 101y = 499 , 101x + 99y = 501
solve this simultaneous equation.

Answer 1

99x+101y=449 equation 1
99x+101y-449=0 equation 2
101x+99y=501 equation 3
101×+99y-501 =0 equation4
a1/a2=99/99 =1
b1/b2=101/101=1
c1/c2=449/501
therefore a1/a2=b1/b2not equal to c1/c2
hope it's helps u

Answer 2

Answer:

99x + 101y = 499 .....(I)

101x + 99y = 501 .....(II)

Adding (I) and (II)

200x+200y=1000

⇒x+y=5 .....(III)

Subtracting (II) from (I)

99x−101x+101y−99y=499−501

⇒−2x+2y=−2

⇒−x+y=−1 .....(IV)

Adding (III) and (IV)

x+y=5−x+y=−1

⇒2y=4

⇒y=2

Putting the value of y = 2 in (III) we get

x+2=5⇒x=5−2=3

Thus, (x, y) = (3, 2)