Question

What value of a would make the statement 0 (-3/4 + 4/3) + a = 0

Options:
A) -2
B) -1
C) 0
D) 1

Answer 1

The value of 'a' that makes the equation 0 (-3/4 + 4/3) + a = 0 true is 0. This is because any number times zero is always zero, so the a term remains by itself on one side of the equation.

Step-by-step explanation:

To solve the equation 0 (-3/4 + 4/3) + a = 0, we must first simplify the expression inside the parentheses and then determine the value of 'a' that makes the expression equal to zero.

First, let's find the sum inside the parentheses:

-3/4 + 4/3

We can do this by finding a common denominator, which in this case is 12. So we get:

(-3 * 3) / 12 + (4 * 4) / 12

-9/12 + 16/12

7/12

Now, since any number multiplied by zero is zero, the entire term 0 (-3/4 + 4/3) becomes zero. Therefore, we have:

0 + a = 0

Lastly, we solve for 'a' by simply seeing that it must be 0 because:

0 + a = 0

a = 0