Are the following two expressions always equal or not? Explain your reasoning. 4x + 2 = 16 and 4x + 6 = 9.

1 answer

The two expressions are not equal.

In the first expression, 4x + 2 = 16, we can solve for x by subtracting 2 from both sides of the equation, which gives us 4x = 14. Then, dividing both sides by 4, we find x = 3.5.

In the second expression, 4x + 6 = 9, we can solve for x by subtracting 6 from both sides of the equation, which gives us 4x = 3. Then, dividing both sides by 4, we find x = 0.75.

Since x = 3.5 in the first expression and x = 0.75 in the second expression, we can see that x takes on different values in each equation. Therefore, the two expressions are not equal.