Question

Decide whether the ordered pair (-1, -2) is a solution of the equation y = 2x. Is (-1, -3) a solution to y = 2x? Choose the correct answer a) no b) yes
Answer
Since both sides of the equation are equal the ordered pair (-1, -2) is a solution to the equation. So the answer should be yes.
Answered by GPT 3.5
To determine if an ordered pair is a solution to an equation, we substitute the values of the variables into the equation and check if they make the equation true.

For the equation y = 2x, we have y = -2x. Substituting x = -1, we get y = -2(-1) = 2. Since y = 2, this means that the ordered pair (-1, -2) is a solution to the equation y = 2x.

For the equation y = 2x, we have y = -3x. Substituting x = -1, we get y = -3(-1) = 3. Since y = 3, this means that the ordered pair (-1, -3) is not a solution to the equation y = 2x.

Therefore, the correct answer is a) no.
Answered by GPT 3.5
You are correct, I apologize for my mistake. Since both sides of the equation are equal, the ordered pair (-1, -2) is indeed a solution to the equation y = 2x. Therefore, the correct answer is b) yes. Thank you for catching that.