Answer:
True
Step-by-step explanation:
Multiplying a number by 3 will produce the same value as adding 6 to that number can be expressed algebraically as:
3x = x + 6
In order to determine whether the given statement is true, we can solve for x:
Start by subtracting x from both sides:
3x - x = x - x + 6
2x = 6
Divide both sides by 2:
2x/2 = 6/2
x = 3
Substitute the value of x into the original equality statement:
3x = x + 6
3(3) = 3 + 6
9 = 9 (True statement).
Therefore, it is true that when we multiply a number by 3, we get the same value as if we added 6 to that number.
