Numbers divisible by 100 are divisible by 5. Conclusion: 49,700 is divisible by 5.

What additional true statement would need to be given in order to state the conclusion using the law of detachment?

A.
Numbers divisible by 5 are divisible by 100.
B.
Numbers are divisible by 100.
C.
49,700 is a number.
D.
49,700 is divisible by 100.

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