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

Question

1217 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-04-13T13:46:19

$y=4/27$
$x=13/18$

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

(1) $times -7$ ,

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

Sub (3) into (2)

$4x+14x-7=6$

$18x=13$

$x=13/18$ --- (4)

Sub (4) into (3)

$21y=14x-7$

$y = 1/21((14times13/18)-7)$

$y=4/27$

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