Question

Solve the following
217x+131y=913
131x+217y=827
Find x and y​

Answer 1

Answer:

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.

Answer 2

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.

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