How do you solve the following system?: $11 x - 23 y = - 13, - 23 x + 17 y = 8$ $11x -23y =-13 , -23x +17y = 8$

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How do you solve the following system?: $11 x - 23 y = - 13, - 23 x + 17 y = 8$ $11x -23y =-13 , -23x +17y = 8$

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Answer 1 · 2015-12-29T15:50:04

Reorder one of the equations to express y in terms of x, and then substitute into the other equation and resolve for x. Substitute this value for x back into the first equation and evaluate for y.

Explanation:

$17 y = 8 + 23 x$ $17y = 8 +23x$
$y = \frac{8 + 23 x}{17}$ $y = (8 + 23x)/17$
$11 x - 23 \cdot \frac{8 + 23 x}{17} = - 13$ $11x - 23*(8+23x)/17 = -13$
$11 x - 184 - 589 x = - 221$ $11x - 184 -589x = -221$
$578 x = 37$ $578x = 37$
$x = \frac{37}{578} \Rightarrow 0.064$ $x = 37/578 => 0.064$
$17 y = 8 + 23 \cdot \frac{37}{578}$ $17y = 8 + 23*37/578$
$y = \frac{4624 + 851}{578 \cdot 17} = \frac{5475}{9826} \Rightarrow 0.557$ $y = (4624 + 851)/(578*17) =5475 / 9826 => 0.557$

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How do you solve the following system?: $11 x - 23 y = - 13, - 23 x + 17 y = 8$ $11x -23y =-13 , -23x +17y = 8$

1 Answer

Explanation:

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How do you solve the following system?: 11x−23y=−13,−23x+17y=811x -23y =-13 , -23x +17y = 8

1 Answer

Explanation:

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How do you solve the following system?: $11 x - 23 y = - 13, - 23 x + 17 y = 8$ $11x -23y =-13 , -23x +17y = 8$