How do solve the following linear system?: $5 x - y = 3, x + y = - 4$ $5x-y=3 , x+y=-4$ ?

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How do solve the following linear system?: $5 x - y = 3, x + y = - 4$ $5x-y=3 , x+y=-4$ ?

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Answer 1 · 2016-07-12T22:43:43

$x = - \frac{1}{6}, y = - 3 \frac{5}{6}$ $x = -1/6," "y = -3 5/6$

Explanation:

An alternative method is to write each equation with y as the subject. Both equations allow this to be done easily.

$y = 5 x - 3 and y = - x - 4$ $y = 5x-3 " and "y = -x-4$

And now by equating the $y$ $y$ 's, we get
$y = y$ $y = y$

$:.5x-3 =-x-4$

$6x = -1 rArr " "x = -1/6$

There are now two equations to calculate a value for $y$ ,which is quite nifty, because we can then check that each equation gives the same value for $y$ .

$y = 5(-1/6) -3 = -3 5/6$
$y = -(-1/6)-4 = -3 5/6$

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How do solve the following linear system?: $5 x - y = 3, x + y = - 4$ $5x-y=3 , x+y=-4$ ?

1 Answer

Explanation:

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Science

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How do solve the following linear system?: 5x-y=3 , x+y=-4 5x−y=3,x+y=−4 5x-y=3 , x+y=-4 ?

1 Answer

Explanation:

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How do solve the following linear system?: $5 x - y = 3, x + y = - 4$ $5x-y=3 , x+y=-4$ ?