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#