Question

Determine if -8T- 20 = 4(-2T -5) has one solution, infinitely many solutions, or no solution

Answer 1

Answer:

infinitely many solutions

Step-by-step explanation:

-8T- 20 = 4(-2T -5)

Distribute the 4

-8T- 20 = (-8T -20)

Add 8T to each side

-8T+8T- 20 = (-8T+8T -20)

-20 = -20

Since this is a true statement, there are infinitely many solutions

Answer 2

Answer:

Step-by-step explanation:

Note that -8T - 20 is 4 times -2T - 5, which comes out to -8T - 20..  Thus, the given equation simplifies to an identity (which is always a true statement).  This equation is true for all T values, and thus has invinitely many solutions.