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

4x+ay=-8-3x+y,

2x+y=b+2x+5y

Guest May 20, 2022

#1**0 **

I dont think such values exist.

We can simplify the equations to:

\(4y+b = 0 \)

\(7x+ay=y-8\)

For both equations to have infinite solutions, the 2 equations must be multiples of each other.

However, notice that the first equation has the slope \(-7 \over a\), and the second term has a slope of 0.

Because the 2 slopes are different, there is no ordered pair (a,b) that satisfies the requirements.

BuilderBoi May 20, 2022