How do solve the following linear system?: y=5x7,x=y11x?

1 Answer
Jun 30, 2016

(x,y)=(1,12)

Explanation:

Given:
[1]XXXy=5x7
[2]XXXx=y11x

Using [1] we see we can substitute (5x7) for y in [2]
[3]XXXx=(5x7)11x

then simplifying
[4]XXXx=6x7

[5]XXX7x=7

[6]XXXx=1

Now we can substitute (1) for x back in [1]
[7]XXXy=5(1)7

[8]XXXy=12