Question

Given the equation b - a = c, if "a" > 0, "b" = 4, and "c" < 0, find the values of "a" and "c."

a) a = 3, c = -7
b) a = 5, c = -3
c) a = 2, c = -6
d) a = 4, c = -8

Answer 1

The correct values are a = 5 and c = -3, satisfying the equation b - a = c with b = 4 and requiring c to be negative.

Step-by-step explanation:

To find the values of a and c given the equation b - a = c, and knowing that a > 0, b = 4, and c < 0, we can substitute and solve. Since b = 4, we have 4 - a = c. For c to be negative, a must be greater than 4. Checking the choices given, option b) a = 5 and c = -3 satisfies the equation, since 4 - 5 = -1, and -1 is indeed less than zero.