This question is from linear equations in two variables in which we have been asked to find the value of x and y from the equations x-y=3, x/3+y/2=6
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3B, question no 2
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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.