Question

99x + 101y = 499 ; 101x + 99y = 501 solve the similtaneous equations​

Answer 1

Step-by-step explanation:

99x+101y=499....…..1

101x+99y=501..….....2

200x+200y=1000

x+y=5.....…3

99x+101y=499

101x+99y=501

-2x+2y=-2

-x+y=-1.........4

x+y=5

-x+y=-1

2y=4

y=2

x+y=5

x+2=5

x=5-2

x=3

Answer 2

Answer:

x=0.005

y=5.05

Step-by-step explanation:

99x+101y=499

101x+99y=501 ( to make it solvable we multiply 101y to 99 and 99y to 101 and we if in order to make this we have to do the following:—)

(99x+101y=499.) ×99

(101x+99y=501). ×101

9,801x+9,999y=499-{1}

10,201x+9,999y=501 -{2} (subtract these equations)

(–). (–). (–)

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–400x=–2

400x=2

x=2/400

x=0.005

when x=0.005,put it in equation 2

(101×0.005)+99y=501

0.505+99y=501

99y=501–0.505

99y=500.495

y=500.495/99

y=5.05