Which of the following would eliminate the variable on the left side of the given equation?
36 - 19w = -6w + 41
A)add -19w
B)add 6w
C)add 19w
D)add -36
You need to add 19w to both sides of the equation.
To eliminate the variable on the left side of the given equation (36 - 19w = -6w + 41), we need to get all the terms containing "w" on one side and constant terms on the other side.
Let's go through the options:
A) add -19w:
Adding -19w to both sides of the equation would eliminate the variable on the left side. However, this would introduce the variable on the right side, making the equation more complicated and not achieving our goal.
B) add 6w:
Adding 6w to both sides of the equation would eliminate the variable on the right side, but it would not eliminate the variable on the left side.
C) add 19w:
Adding 19w to both sides of the equation would eliminate the variable on the left side. This is the correct option as it gets all the terms with "w" on one side.
D) add -36:
Adding -36 to both sides of the equation would not eliminate the variable on either side. It would only shift the constant terms.
Therefore, the correct answer is C) add 19w.