Question

If c – a = b, which of the following statements is true?

b – c = a
c + b = a
a – c = b
b + a = c

Answer 1

The correct statement among the options given is 'b + a = c', which adheres to the commutative property of addition.

Step-by-step explanation:

If c – a = b, we can manipulate this equation to find the correct relationship among a, b, and c. First, let's add 'a' to both sides of the equation.

c – a + a = b + a

c = b + a

This implies that adding 'a' to 'b' yields 'c', which corresponds with the commutative property of addition, A + B = B + A. Therefore, the correct statement from the options presented is:

b + a = c

This also clearly demonstrates that commutative law holds for this situation because you get the same result whether you add a to b or b to a.

Answer 2

D. b + a = c

Step-by-step explanation:

c – a = b

Add a to both sides.

c = b + a

b + a = c

Answer: D. b + a = c