Solve the following 10x + 3y = 11, 11x + 5y = 7 by elimination method.
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Step-by-step explanation:
10x + 3y = 11 (i) 11x + 5y = 7 (ii)
Multiplying (i) by 5 and (ii) by 3 , we get
50x + 15y = 55 (iii)
33x + 15y = 21 (iv)
Subtracting (iv) from (iii), we get
17x = 34
x = 34/17
x = 2
Putting the value of x in (ii), we get
11 × 2 + 5y = 7
22 - 7 = 5y
5y = 15
y = 3
So, x = 2 , y = 3
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