For what ordered pair (a,b) are there infinite solutions (x,y) to the system
4x + ay = -8
3x - y = b
+2668 Simplify the first equation to \(4x=-8-ay\).
Simplify the second equation to \(3x=b+y\).
Multiply this equation by \(4 \over 3\).
This equals \(4x= {4 \over 3} b + {4\over3}y\).
For \(4x=-8-ay \) and \(4x={4\over3}b+{4\over3}y\) to have infinite intersection points, they have to be the same.
So... \(\color{brown}\boxed {a=-{3\over4}, b = -6}\)
