This is the basic and conceptual question from linear equations in two variables in which we have to find the value of variables x and y from the equations 2x+5y=8/3, 3x-2y=5/6
RS Aggarwal, Class 10, chapter 3B, question no 11
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The given equations are:
2x – 5y = 8/3 …..(i)
3x – 2y = 5/6 ……..(ii)
On multiplying (i) by 2 and (ii) by 5, we get:
4x – 10y = 16/3 ……(iii)
15x – 10y = 25/6 ……(iv)
On adding (iii) and (iv), we get:
19x = 57/ 6
⇒x = 57/ (6 × 19) = 3/6 = 1/2
On substituting x = 1/2 in (i), we get:
2 × 1/2 + 5y = 8/3
⇒ 5y = ( 8/3 − 1) = 5/3
⇒y = 5/ (3 × 5) = 1/3
Hence, the solution is
x = 1/2 and y = 1/3