mastercore7810 mastercore7810

15-09-2016
Mathematics

contestada

solve each system

1. -6x+9y=21
10x-3y=-23

2. 5x+6y=-18
y=-3x-3

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nobillionaireNobley nobillionaireNobley

17-09-2016

-6x + 9y = 21 . . . (1)
10x - 3y = -23 . . . (2)
(2) x 3 => 30x - 9y = -69 . . . (3)
(1) + (3) => 24x = -48 => x = -48/24 = -2

From (1), -6(-2) + 9y = 21 => 9y = 21 - 12 = 9 => y = 9/9 = 1

Threfoe, x = -2 and y = 1

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