Question

99x+101y=499,101x+99y=501​

Answer 1

Answer:

99x+101y = 499------------> 1

101x+99y = 501-----------------> 2  

multiply equation 1 with 101  

then we get  (99x+101y = 499)101

⇒9999x+10201y=50399----------------> 3

Now let us consider 2nd equation  

multiply 2nd equation by 99  

then we get (101x+99y = 501)99

⇒9999x+9801y=49599---------------> 4

solving 3 & 4 we get  

400y = 800

⇒y = 2  

Now substitute y = 2 in equation 1  

then we get the value of x  

99x+101*2=499

99x+202=499

99x=297

x=3

Step-by-step explanation:

Answer 2

Answer:

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Step-by-step explanation:

Given equation are

99x+101y=499−−−(1)

101x+99y=501−−−(2)

Adding (1) and (2)

200x+200y=1000

∴ x+y=5−−−(3)

Subtracting (1) from (2)

2x−2y=2

∴ x−y=1−−−(4)

Adding (3) and (4)

2x=6 ∴

x=3

Putting x=3 in equation (4)

3−y=1

∴ y=2

∴ y=2,x=3