How many solutions does the system formed by x-y=6 and ay-ax+6a=0 have for a nonzero number a? Explain.

infinitely many

Step-by-step explanation:

Just rearrange the second equation:

a(y - x + 6) = 0

y - x + 6 = 0

y - x = -6

x - y = 6

You have two equations that are identical. The number of (x,y) pairs satisfying "both" equations is just the number of pairs satisfying the first one. (Think about it, satisfying one is satisfying both.)

There are infinitely many (x,y) pairs satisfying x - y = 6, so answer is "infinitely many solutions."

answer:

the position of equilibrium will shift to the left.

step-by-step explanation:

the general equation for the dissociation of a weak base is

b + h₂o   ⇌   bh⁺ + oh⁻

according to le châtelier's principle, when a stress is applied to a system at equilibrium, the system will respond in a way that tends to relieve the stress.

if you apply a stress by adding more bh⁺ or oh⁻,   the system will respond by moving in a direction that gets rid of the added ions.

the position of equilibrium will shift to the left, forming more of the undissociated base.

the answer will be the last one