(7) 99x + 101y = 499; 101x + 997 = 501
(8) 49x - 57y = 172; 57x - 499 = 252
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Step-by-step explanation:
99x + 101y =499------- equation 1
101x + 99x = 501--------equation 2
adding equation 1 n 2
99x + 101y = 499
101x + 99y = 501
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200x + 200y= 1000
dividing both side by 200
x + y = 5 ------‐-------- equation 3
subtracting equation 2 from 1
99x + 101y= 499
101x +99y = 501
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-2x + 2y = -2
dividing both sides by -2
x - y = 1 ---------------equation 4
Adding equation 3 n 4
x + y = 5
x - y = 1
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2x = 6
x = 3
substituting x =3 in equation 3
3 + y = 5
y = 5 - 3
y = 2
therefore value of x = 3 and value if y = 2
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