How do you solve the following system?: x + 6y = 13 , 4x-5y=5 x+6y=13,4x−5y=5

1 Answer
Lucy
Jun 9, 2018

x=95/29x=9529
y=47/29y=4729

Explanation:

x+6y=13x+6y=13 --- (1)
4x-5y=54x−5y=5 --- (2)

From (1),
x+6y=13x+6y=13
x=13-6yx=13−6y --- (3)

Sub (3) into (2)
4(13-6y)-5y=54(13−6y)−5y=5
52-24y-5y=552−24y−5y=5
47=29y47=29y
y=47/29y=4729 --- (4)

Sub (4) into (3)
x=13-6yx=13−6y
x=13-6(47/29)x=13−6(4729)
x=95/29x=9529

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