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For what ordered pair $(a,b)$ are there infinite solutions $(x,y)$ to the system $\begin{align*} 2ax+2y&=b,\\ 5x+y&=-3. \end{align*}$

Guest Oct 24, 2017

CPhill · Answer 1 · 2017-10-24T01:33:38

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 }