The equation shown has a missing value. Answer parts a through c.
- 2(2x )+1= 17 - 4x
a. For what missing value is the equation an identity?
b. For what missing value(s), if any, does the equation have exactly one solution?
c. For what missing value(s), if any, does the equation have no solution?
a. The equation is an identity when the missing value is

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

if you explain the the question more correctly i might be able to answer this better

step-by-step explanation: