How do you solve the following system?: $- 8 x + 3 y = 12, - 2 x + 6 y = - 8$ $-8x+3y=12 , -2x + 6y = -8$

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How do you solve the following system?: $- 8 x + 3 y = 12, - 2 x + 6 y = - 8$ $-8x+3y=12 , -2x + 6y = -8$

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Answer 1 · 2016-03-15T19:32:56

$x = - \frac{16}{7}$ $x=-16/7$

$y = - \frac{44}{21}$ $y=-44/21$

Explanation:

$2 \cdot (- 8 x + 3 y) = 2 \cdot 12$ $color(red)(2)*(-8x+3y)=color(red)(2)*12$
$- 16 x + 6 y = 24$ $-16x+color(blue)(6y)=24$
$6 y = 24 + 16 x$ $color(blue)(6y)=24+16x$

$- 2 x + 6 y = - 8 (1)$ $-2x+color(blue)(6y)=-8" "(1)$
$- 2 x + 24 + 16 x = - 8$ $-2x+24+16x=-8$
$14 x = - 8 - 24$ $14x=-8-24$
$14 x = - 32$ $14x=-32$
$x = - \frac{32}{14}$ $x=-32/14$
$x = - \frac{16}{7}$ $x=-16/7$
$use (1)$ $"use (1)"$
$- 2 (- \frac{16}{7}) + 6 y = - 8$ $-2(-16/7)+6y=-8$
$\frac{32}{7} + 6 y = - 8$ $32/7+6y=-8$
$6 y = - 8 - \frac{32}{7}$ $6y=-8-32/7$
$6 y = \frac{- 56 - 32}{7}$ $6y=(-56-32)/7$
$y = - \frac{88}{42}$ $y=-88/42$

$y = - \frac{44}{21}$ $y=-44/21$

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How do you solve the following system?: $- 8 x + 3 y = 12, - 2 x + 6 y = - 8$ $-8x+3y=12 , -2x + 6y = -8$

1 Answer

Explanation:

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How do you solve the following system?: -8x+3y=12 , -2x + 6y = -8 −8x+3y=12,−2x+6y=−8 -8x+3y=12 , -2x + 6y = -8

1 Answer

Explanation:

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How do you solve the following system?: $- 8 x + 3 y = 12, - 2 x + 6 y = - 8$ $-8x+3y=12 , -2x + 6y = -8$