5x + y = 8

x + 4y = 2

1 answer

I assume you are solving ?

method1: substitution
from #1 , y = 8-5x
sub into #2:
x + 4(8-5x) = 2
x + 32 - 20x = 2
-19x = -30
x = 30/19
then y = 8-5x = 8-30/19 = 2/19

or:
multiply the first by 4
20x + 4y = 32
x + 4y = 2
subtract them:
19x = 30
x = 30/19
back in first:
5x + y = 8
150/19 + y = 8
y = 8 - 150/19 = 2/19