How do solve the following linear system?: $2 x - 3 y = 1, 4 x + 21 y = 6$ $2x - 3y = 1 , 4x+21y=6$ ?

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How do solve the following linear system?: $2 x - 3 y = 1, 4 x + 21 y = 6$ $2x - 3y = 1 , 4x+21y=6$ ?

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Answer 1 · 2018-04-13T13:46:19

$y = \frac{4}{27}$ $y=4/27$
$x = \frac{13}{18}$ $x=13/18$

Explanation:

$2 x - 3 y = 1$ $2x-3y=1$ --- (1)
$4 x + 21 y = 6$ $4x+21y=6$ --- (2)

(1) $\times - 7$ $times -7$ ,

$(2 x - 3 y) \times (- 7) = 1 \times (- 7)$ $(2x-3y)times(-7) = 1times (-7)$
$- 14 x + 21 y = - 7$ $-14x+21y=-7$
$21 y = 14 x - 7$ $21y=14x-7$ --- (3)

Sub (3) into (2)

$4 x + 14 x - 7 = 6$ $4x+14x-7=6$

$18 x = 13$ $18x=13$

$x = \frac{13}{18}$ $x=13/18$ --- (4)

Sub (4) into (3)

$21 y = 14 x - 7$ $21y=14x-7$

$y = \frac{1}{21} ((14 \times \frac{13}{18}) - 7)$ $y = 1/21((14times13/18)-7)$

$y = \frac{4}{27}$ $y=4/27$

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How do solve the following linear system?: $2 x - 3 y = 1, 4 x + 21 y = 6$ $2x - 3y = 1 , 4x+21y=6$ ?

1 Answer

Explanation:

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Science

Math

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How do solve the following linear system?: 2x−3y=1,4x+21y=6 2x - 3y = 1 , 4x+21y=6 ?

1 Answer

Explanation:

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How do solve the following linear system?: $2 x - 3 y = 1, 4 x + 21 y = 6$ $2x - 3y = 1 , 4x+21y=6$ ?