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Ask QuestionPosted by Samreen Ansari 6 years, 8 months ago
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Posted by Tanushka Reddy 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
Here given equations are
2x - y = 5 ..........(i)
3x - 5y = 4 ..............(ii)
Multiplying equation (i) by 3, we get
3 {tex}\times{/tex} (2x - y = 5)
{tex}\Rightarrow{/tex} 6x - 3y = 15 ...........(iii)
Multiplying equation (ii) by 2 , we get
2 {tex}\times{/tex} (3x - 5y = 4)
{tex}\Rightarrow{/tex} 6x - 10y = 8 ............(iv)
Subtracting equation (iv) from (iii), we get

{tex}\Rightarrow{/tex} y = 1
Put y = 1, equation (i) becomes
2x - 1 = 5
{tex}\Rightarrow{/tex} 2x = 6
{tex}\Rightarrow{/tex} x = 3
{tex}\therefore{/tex} x = 3, y = 1 is the solution of given system of equations.
Posted by Abhishek Dwivedy 6 years, 8 months ago
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Posted by Suruchirai Rai 6 years, 8 months ago
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Vanshika Verma 6 years, 8 months ago
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Posted by Vanshika Verma 6 years, 8 months ago
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Posted by Aman Anshuman 6 years, 8 months ago
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Posted by Vishal Vithalani 6 years, 8 months ago
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Posted by Vishal Vithalani 6 years, 8 months ago
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Posted by Ritika Sharma 6 years, 8 months ago
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Yogita Ingle 6 years, 8 months ago
Let us first find the HCF of 210 and 55.
Applying Euclid division lemna on 210 and 55, we get
210 = 55 × 3 + 45
55 = 45 × 1 + 10
45 = 4 × 10 + 5
10 = 5 × 2 + 0
We observe that the remainder at this stage is zero. So, the last divisor i.e., 5 is the HCF of 210 and 55.
∴ 5 = 210 × 5 + 55y
⇒ 55y = 5 - 1050 = -1045
∴ y = -19
Posted by Jasmita Bellana 6 years, 8 months ago
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Thanks Ki Baarish ........???? 6 years, 8 months ago
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Posted by Indu Goel 6 years, 8 months ago
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Pearl Kayastha 6 years, 8 months ago
Aleena Bi 6 years, 8 months ago
Posted by Last Bencher 6 years, 8 months ago
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Yogita Ingle 6 years, 8 months ago
For a pair of given positive integers ‘a’ and ‘b’, there exist unique integers ‘q’ and ‘r’ such that
`a=bq+r`, where `0≤r<b`
Explanation:
Thus, for any pair of two positive integers a and b; the relation
`a=bq+r`, where `0≤r<b`
will be true where q is some integer
Posted by Shweta Raghu 6 years, 8 months ago
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Aastha .? 6 years, 8 months ago
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Aleena Bi 6 years, 8 months ago
Posted by V Charlene 6 years, 4 months ago
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Sia ? 6 years, 4 months ago
Taking different values of n, we find that A and B are co-prime.
When {tex}n = 1, A =1 5, B = 8{/tex}
When {tex}n = 2, A = 17, B = 9{/tex}
When {tex}n = 3, A = 19, B = 10{/tex} and so on....
Therefore, {tex}HCF = 1{/tex}
Posted by Krishna Chadha 6 years, 8 months ago
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