4x-3y=8; 6x-y=219 3
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1. 4x-3y=8
x-3y= 8/4
x-y= 2/3
2. 6x-y= 219/3
6x-y= 73
x-y= 73/6
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Answer:
x = 211/14 ; y = 122/7
Step-by-step explanation:
4x - 3y = 8 (i)
6x - y = 219/3 (ii)
Multiply by 3 in (ii)
3(6x - y = 219/3)
18x - 3y = 219 (iii)
Subtract (iii) - (i)
18x - 3y - (4x - 3y) = 219 - 8
18x - 3y - 4x + 3y = 211
14x = 211
x = 211/14
x = 15.07
18x - 3y = 219
18(211/14) - 3y = 219
9(211/7) - 3y = 219
1899/7 - 3y = 219
3y = 1899/7 - 219
Taking LCM,
3y = (1899 - 1533)/7
y = 366/21
y = 122/7
y = 17.42
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