find the value of X and Y in the following rectangle
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find the value of X and Y in the following rectangle
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Answer:
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Step-by-step explanation:
x + 3y = 13 1
3x + y = 7. 2
On multiplying equation 1 by 3
3x + 9y = 39. 3
On subtracting equation 3 and 2
8y = 32
y = 4
On putting y = 4 in equation 2
3x + 4 = 7
3x = 3
x = 1
Therefore x = 1, y = 4
Answer:
We know that,
=> x + 3y = 13. .....(i).
=> 3x + y = 7. .....(ii).
From equation (i), we get,
x = 13 - 3y.
Putting the value of x in equation (ii), we get,
3x + y = 7.
=> 3(13 - 3y) + y = 7.
=> 39 - 9y + y = 7.
=> 39 - 8y = 7.
=> -8y = 7 - 39.
=> -8y = -32.
=> y = -32/-8.
Putting the value of y in equation (i), we get,
x + 3y = 13.
=> x + 3(4) = 13.
=> x + 12 = 13.
=> x = 13 - 12.
Hence,
x = 1.
y = 4.