How do solve the following linear system?: $3 x - 8 y = 6, 5 x + 2 y = 2$ $3x-8y=6, 5x+2y=2$ ?

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How do solve the following linear system?: $3 x - 8 y = 6, 5 x + 2 y = 2$ $3x-8y=6, 5x+2y=2$ ?

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Answer 1 · 2018-04-18T23:36:17

See a solution process below

Explanation:

$3 x - 8 y = 6 - - - e q n 1$ $3x - 8y = 6 - - - eqn1$

$5 x + 2 y = 2 - - - e q n 2$ $5x + 2y = 2 - - - eqn2$

Using elimination method..

$5 \times (3 x - 8 y = 6)$ $5 xx (3x - 8y = 6)$

$3 \times (5 x + 2 y = 2)$ $3 xx (5x + 2y = 2)$

$15 x - 40 y = 30 - - - e q n 3$ $15x - 40y = 30 - - - eqn3$

$15 x - 6 y = 6 - - - e q n 4$ $15x - 6y = 6 - - - eqn4$

Subtract $e q n 3 and e q n 4$ $eqn3 and eqn4$

$- 34 y = 24$ $-34y = 24$

$y = - \frac{24}{34}$ $y = - 24/34$

$y = - \frac{12}{17}$ $y = - 12/17$

Substitute the value of $y$ $y$ into $e q n 1$ $eqn1$

$3 x - 8 y = 6$ $3x - 8y = 6$

$3 x - 8 (- \frac{12}{17}) = 6$ $3x - 8(-12/17) = 6$

$3 x + \frac{96}{17} = 6$ $3x + 96/17 = 6$

Multiply through by $17$ $17$

$17 (3 x) + 17 (\frac{96}{17}) = 17 (6)$ $17(3x) + 17(96/17) = 17(6)$

$51 x + 96 = 102$ $51x + 96 = 102$

$51 x = 102 - 96$ $51x = 102 - 96$

$51 x = 6$ $51x = 6$

$x = \frac{6}{51}$ $x = 6/51$

$x = \frac{2}{17}$ $x = 2/17$

Hence;

$x = \frac{2}{17} and y = - \frac{12}{17}$ $x = 2/17 and y = -12/17$

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How do solve the following linear system?: $3 x - 8 y = 6, 5 x + 2 y = 2$ $3x-8y=6, 5x+2y=2$ ?

1 Answer

Explanation:

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Impact of this question

Science

Math

Humanities

... and beyond

How do solve the following linear system?: 3x−8y=6,5x+2y=2 3x-8y=6, 5x+2y=2 ?

1 Answer

Explanation:

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Impact of this question

How do solve the following linear system?: $3 x - 8 y = 6, 5 x + 2 y = 2$ $3x-8y=6, 5x+2y=2$ ?