For what ordered pair (a,b) are there infinite solutions (x,y) to the system 2ax+2y=b,5x+y=−3.
2ax+2y=b
5x+ y= -3 ⇒ 10x + 2y = -6
So.....we will have infinite solutions when
2a = 10 ⇒ a = 5
And
b = -6
So { a, b} = { 5, -6 }