SOLUTION: what is the point of intercept of 5x+6y<30 and 7x-8y>-56 ( ), ( ) help

Algebra ->  Linear-equations -> SOLUTION: what is the point of intercept of 5x+6y<30 and 7x-8y>-56 ( ), ( ) help      Log On


   

Question 889537: what is the point of intercept of 5x+6y<30 and 7x-8y>-56 ( ), ( ) help
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The point of intersection would be the intersection of the two lines,
5x%2B6y=30
7x%2B8y=-56
Multiply eq. 1 by 7 and eq. 2 by (-5) and add them together,
35x%2B42y-35x-40y=210%2B280
2y=490
highlight%28y=245%29
Then use either equation to solve for x.
5x%2B6%28245%29=30
5x%2B1470=30
5x=-1440
highlight%28x=-288%29