Question

Solve: 99x +101y = 499
and 101x +99y = 501

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Answer 1

Step-by-step explanation:

99 X + 101 Y = 499 ——-eq 1

101 X + 99 Y = 501 ———eq 2

solving both equations,

multiply eq 1 by 101 and eq 2 by 99

99 * 101 X + 101 * 101 Y = 499 *101

101 * 99 X + 99 * 99 Y = 501 * 99

999 X + 10201 Y = 50399 —- eq 3

999 X + 9801 Y = 49599 ——- eq4

Solving the above obtained equation for the value of X by subtracting eq 3 from eq 4

(10201 - 9801) Y = 50399 - 49599

Y = 800/400 = 2

Putting the value of Y = 2 in eq 1

99X + 101 * 2 =499

X = (499 - 202) / 99

X = 3

Answer 2

Answer:

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Step-by-step explanation:

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