For what ordered pair \((a,b)\) are there infinite solutions \((x,y)\) to the system
\(\begin{align*} 4x+ay&=-8,\\ 2x+y&=b. \end{align*}\)
To have infinite solutions ...... let the first equation be a multiple of 2 of the second equation
So 2 [ 2x + y = b] = 4x + 2y = 2b
a = 2 and 2b = -8 so b = -4
So
(a,b) = (2, -4)
(a,b) = (4,-1).
