For what ordered pair (a, b) are there infinite solutions (x, y) to the system

4x+ay=-8,

2x+y=b-2x

Guest Jun 29, 2022

#1**+1 **

Add 2x to both sides of the second equation: \(4x + y = b\)

The first equation is \(4x + ay = -8\)

Because they have a ratio of 1, the 2 equations must be identical.

So, what values of a and b will make the second equation identical to the first equation?

BuilderBoi Jun 29, 2022

#1**+1 **

Best Answer

Add 2x to both sides of the second equation: \(4x + y = b\)

The first equation is \(4x + ay = -8\)

Because they have a ratio of 1, the 2 equations must be identical.

So, what values of a and b will make the second equation identical to the first equation?

BuilderBoi Jun 29, 2022