Question

217x+131y=913and 131x+217y=827
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Answer 1

Step-by-step explanation:

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10th

Maths

Pair of Linear Equations in Two Variables

Algebraic Solution of a Pair of Linear Equations

Solve: 217x + 131y = 913 an...

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Asked on November 22, 2019 by

Akhil Kapur

Solve:

217x+131y=913 and

131x+217y=827.

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ANSWER

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.

Answer 2

Answer:

$x = 3 \: and \: y = 2$

Step-by-step explanation:

We have,

$217x + 131y = 913 \: (i) \\ 131x + 217y = 827 \: (ii)$

Adding equation (i) and (ii), we get

$= 348x + 348y \\ = 1740 \\ = x + y = 5(iii)$

Subtracting equation (ii) from equation, 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 equation.

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