SOLUTION: Using substitution, how would you solve this problem. 5x+9y=-16 6x+y=31

Algebra ->  Expressions-with-variables -> SOLUTION: Using substitution, how would you solve this problem. 5x+9y=-16 6x+y=31       Log On


   

Question 338919: Using substitution, how would you solve this problem. 5x+9y=-16
6x+y=31
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.5x%2B9y=-16
2.6x%2By=31
From eq. 2,
y=-6x%2B31
Substitute into eq. 1,
5x%2B9%28-6x%2B31%29=-16
5x-54x%2B279=-16
-49x=-295
highlight%28x=295%2F49%29
Then from eq. 2,
y=-6%28295%2F49%29%2B31
y=-1770%2F49%2B1519%2F49
highlight%28y=-251%2F49%29