Explain Yvonne's mistake in the following problem.
8x + 6x + 2 = 16x
combine LIKE terms
8x + 6 x = 14 x
2 = 2
so
14 x + 2
ohhhhhhhhhhhh i get the answer is she didn't add the variables and the coefficient first
In the given expression, Yvonne made a mistake when combining like terms. To correctly solve the problem, we need to combine the terms with the same variable, in this case, "x."
Let's break down the equation:
8x + 6x + 2 = 16x
To solve this, we should first combine the "x" terms on the left side of the equation.
8x + 6x = 14x
Substituting this back into the equation, we have:
14x + 2 = 16x
Now, we can proceed to isolate the variable "x" by subtracting 14x from both sides:
14x + 2 - 14x = 16x - 14x
This simplifies to:
2 = 2x
Lastly, we can solve for "x" by dividing both sides of the equation by 2:
2/2 = 2x/2
Simplifying further:
1 = x
The correct solution is x = 1.
It seems that Yvonne's mistake occurred while combining the "x" terms.