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
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.
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.
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.
To determine if an ordered pair is a solution to an equation, we substitute the values of x and y into the equation and see if it holds true.
For the first ordered pair (-1, -2), we have:
y = 2x
-2 = 2(-1)
Simplifying the equation gives:
-2 = -2
Since -2 is equal to -2, the equation holds true. Therefore, (-1, -2) is a solution to the equation y = 2x.
For the second ordered pair (-1, -3), we have:
y = 2x
-3 = 2(-1)
Simplifying the equation gives:
-3 = -2
Since -3 is not equal to -2, the equation does not hold true. Therefore, (-1, -3) is not a solution to the equation y = 2x.
The correct answer is:
a) no