Question

solve the following simultaneously eqn 101x+99y=501,99x+101=499

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Adding both the equations,

101x+99y=501

+ 99x+101y=499

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200x+200y=1000

200(x+y)=1000

x+y=1000/200

x+y=5. ---(1)

Now, subtracting the equations

101x+99y=501

- 99x+101y=499

- - -

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2x-2y=2

2(x-y)=2

x-y=2/2

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

Adding eqn (1) and (2),

x+y=5

+x-y=2

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2x=7

x=7/2

Substitute x=7/2 in eqn (1),

7/2 + y =2

y=2-7/2

y=-7