One of the most important and conceptual question from linear equations in two variables in which we have been asked to find the value of variables x and y from the equations x+6/y=6, 3x-8/y=5
Kindly solve these equations
RS Aggarwal, Class 10, chapter 3B, question no 19
The given equations are:
x + 6/y = 6 ……..(i)
3x – 8/y = 5 ……..(ii)
Putting 1/y = v, we get:
x + 6v = 6 …….(iii)
3x – 8v = 5 ……(iv)
On multiplying (iii) by 4 and (iv) by 3, we get:
4x + 24v = 24 ……..(v)
9x – 24v = 15 ……..(vi)
On adding (v) from (vi), we get:
13x = 39
⇒ x = 3
On substituting x = 3 in (i), we get:
3 + 6/y = 6
⇒ 6/y = (6 – 3) = 3
⇒ 3y = 6
⇒ y = 2
Hence, the required solution is x = 3 and y = 2.