Question 4 (2 points)
The equation 7x - 11 = 6x - x - 11 has the same solution as 5(x + 4) = 7x - 14 ?
True
False
True
To solve this question, we can simplify both sides of each equation and check if they are equal.
For the first equation, 7x - 11 = 6x - x - 11, we can combine like terms:
7x - 11 = 5x - 11
Next, we can subtract 5x from both sides:
2x - 11 = -11
Adding 11 to both sides:
2x = 0
Dividing both sides by 2:
x = 0
Now let's simplify the second equation, 5(x + 4) = 7x - 14:
Expanding the left side:
5x + 20 = 7x - 14
Subtracting 5x from both sides:
20 = 2x - 14
Adding 14 to both sides:
34 = 2x
Dividing both sides by 2:
x = 17
Since the solutions for both equations are different (x = 0 for the first equation and x = 17 for the second equation), the statement "The equation 7x - 11 = 6x - x - 11 has the same solution as 5(x + 4) = 7x - 14" is False.