How do you solve the following system?: $2 x + 7 y = - 9, 12 x + 5 y = - 2$ $2x +7y =-9 , 12x +5y = -2$

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How do you solve the following system?: $2 x + 7 y = - 9, 12 x + 5 y = - 2$ $2x +7y =-9 , 12x +5y = -2$

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Answer 1 · 2016-03-06T15:47:49

$y = - \frac{52}{37}$ $y=-52/37$
$x = - \frac{31}{74}$ $x=-31/74$

Explanation:

$2 x + 7 y = - 9 (1)$ $2x + 7y =-9" "(1)$
$12 x + 5 y = - 2 (2)$ $12x +5y=-2" "(2)$
$6 (2 x + 7 y) = - 6 \cdot 9$ $color(red)6(2x +7y)=-color(red)6*9$
$12 x + 42 y = - 54 (3)$ $12x+42y=-54" "(3)$
$find (2)-(3)$ $"find (2)-(3)"$
$cancel(12x)-cancel(12x)+5y-42y=-2+54$
$-37y=52$
$y=-52/37$
$2x+7(-52/37)=-9$
$2x-364/37=-9=$
$2x=-9+364/37$
$2x=-31/37$
$x=-31/74$

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How do you solve the following system?: $2 x + 7 y = - 9, 12 x + 5 y = - 2$ $2x +7y =-9 , 12x +5y = -2$

1 Answer

Explanation:

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How do you solve the following system?: $2 x + 7 y = - 9, 12 x + 5 y = - 2$ $2x +7y =-9 , 12x +5y = -2$