Question

What is the value of 101X+99Y =501 and 99X+ 101y =499 then the value of X and Y​

Answer 1

Answer:

x=3 y=2

Step-by-step explanation:

Answer 2

$101x + 99y = 501 \\ 99x + 101y = 499 \\ 101x + 99x + 99y + 101y = 501 + 499 \\ 200x + 200y = 1000 \\ 200(x + y) = 1000 \\ x + y = 5 \\ \\ 101x + 99y - (99x + 101y) = 501 - 499 \\ 101x + 99y - 99x - 101y = 2 \\ 2x - 2y = 2 \\ 2(x - y) = 2 \\ x - y = 1 \\ \\ x + y = 5 \\ x - y = 1 \\ x + y + x - y = 5 + 1 \\ 2x = 6 \\ x = 3 \\ x - y = 1 \\ 3 - y = 1 \\ y = 2$

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