How do solve the following linear system?: $x-2y=8 , 2x+7=-5y$ ?

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Answer 1 · 2018-05-09T03:59:51

$color(brown)(x = 26/9, y = -23/9$

$x - 2y = 8, " Eqn (1)"$

$2x + 5y = -7, " Eqn (2)"$

$2x - 4y = 16, , "Eqn (1) * 2"$

$"Eqn (2) - 2 * Eqn (1)"$

$5y + 4y = -23$

$color(brown)(y = -23/9$

Substituting value of y in Eqn (1),

$x + (2 * 23) / 9 = 8$

$color(brown)(x = 8 - 46/9 = 26/9$

How do solve the following linear system?: x-2y=8 , 2x+7=-5y x-2y=8 , 2x+7=-5y ?