How do solve the following linear system?: $4 x + 21 y = 6, x + y = - 1$ $4x+21y=6 , x+y=-1$ ?

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How do solve the following linear system?: $4 x + 21 y = 6, x + y = - 1$ $4x+21y=6 , x+y=-1$ ?

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Answer 1 · 2016-05-12T02:53:37

$x = - \frac{27}{17}$ $x=-27/17$
$y = \frac{10}{17}$ $y=10/17$

Explanation:

Given -

$4 x + 21 y = 6$ $4x+21y=6$ ------------------ (1)
$x + y = - 1$ $x+y=-1$ --------------------(2)

Solve the equation (2) for $y$ $y$

$y = - 1 - x$ $y=-1-x$

Substitute $y = - 1 - x$ $y=-1-x$ in equation (1)

$4 x + 21 (- 1 - x) = 6$ $4x+21(-1-x)=6$

Simplify

$4 x - 21 - 21 x = 6$ $4x-21-21x=6$
$- 17 x = 6 + 21$ $-17x=6+21$
$x = - \frac{27}{17}$ $x=-27/17$

Substitute $x = - \frac{27}{17}$ $x=-27/17$ in equation (1)

$- \frac{27}{17} + y = - 1$ $-27/17+y=-1$
$y = - 1 + \frac{27}{17} = \frac{- 17 + 27}{17} = \frac{10}{17}$ $y=-1+27/17=(-17+27)/17=10/17$
$y = \frac{10}{17}$ $y=10/17$

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How do solve the following linear system?: $4 x + 21 y = 6, x + y = - 1$ $4x+21y=6 , x+y=-1$ ?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

How do solve the following linear system?: 4x+21y=6,x+y=−1 4x+21y=6 , x+y=-1 ?

1 Answer

Explanation:

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Impact of this question

How do solve the following linear system?: $4 x + 21 y = 6, x + y = - 1$ $4x+21y=6 , x+y=-1$ ?