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Question
Solve for x and y:
x – y = 3, `x/3 + y/2` = 6
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Solution
The given system of equations is
x – y = 3 …..(i)
`x/3 + y/2` = 6 ……(ii)
From (i), write y in terms of x to get
y = x – 3
Substituting y = x – 3 in (ii), we get
`x/3 + (x −3)/2` = 6
⇒2x + 3(x – 3) = 36
⇒2x + 3x – 9 = 36
⇒x = `45/5` = 9
Now, substituting x = 9 in (i), we have
9 – y = 3
⇒y = 9 – 3 = 6
Hence, x = 9 and y = 6.
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