An important and conceptual question from linear equations in two variables in which we have been asked to find the variables x and y from the given equations 217x+131y=913, 131x+217y=827
Kindly give me a detailed solution of this question
RS Aggarwal, Class 10, chapter 3B, question no 33
We have,
217x+131y=913 (i)
131x+217y=827 (ii)
Adding equations (i) and (ii), we get
348x+348y=1740
⇒x+y=5 (iii)
Subtracting equation (ii) from equation (ii), we get
86x−86y=86
⇒x−y=1 (iv)
Adding equation (iii) and (iv), we get
2x=6
⇒x=3
Putting x=3 in equation(iii), we get y=2
Hence, x=3 and y=2 is the solution of the given system of equations.