Solve by substitution (show steps) - 3x-4y=10 - 6x+y=-16

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Mathematics

29 November, 04:41

Solve by substitution (show steps) - 3x-4y=10 - 6x+y=-16

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Giovanny Spears · Answer 1

1) - 3x-4y=10 = = > - 3x = 10+4y = = = > 3x = - 10-4y==> x = (-10-4y) / 3

Now replace x by its value in 2)

2) - 6x+y=-16 = = > - 6[ ( - 10 - 4y) / 3] + y = - 16 = = > - 2[ (-10-4y] + y = - 16

+20+8y+y = - 16==> 9y = - 16 - 20 = = > 9y = - 36 & y = - 4.

Now replace y by ( - 4) in any of the 2 equations & you will find x = 2