tell whether the equation has the ordered pair as a solution.
y=6x;(-1,-6)
To determine if the ordered pair (-1, -6) is a solution to the equation y = 6x, we need to substitute the x and y values into the equation and see if it makes a true statement.
Plugging in x = -1 and y = -6, we have:
-6 = 6(-1)
Simplifying the right side of the equation:
-6 = -6
This equation is true. Therefore, the ordered pair (-1, -6) is a solution to the equation y = 6x.
To determine whether the equation y = 6x has the ordered pair (-1, -6) as a solution, substitute the values of x and y into the equation to see if it holds true.
Given: (-1, -6)
Substitute x = -1 and y = -6 into the equation:
-6 = 6(-1)
Multiply:
-6 = -6
Since -6 is equal to -6, the equation is true.
Therefore, the ordered pair (-1, -6) is indeed a solution to the equation y = 6x.
To determine if the ordered pair (-1, -6) is a solution to the equation y = 6x, we need to substitute the values of x and y from the ordered pair into the equation and check if the equation holds true.
Here's how you can do it step by step:
1. Start with the equation: y = 6x
2. Replace the variable y with the corresponding value from the ordered pair (-1, -6). In this case, y = -6.
So, the equation becomes: -6 = 6x
3. Now, solve for x by dividing both sides of the equation by 6:
-6/6 = 6x/6
-1 = x
4. After solving for x, compare the resulting value of x with the x-value from the ordered pair (-1, -6). In this case, x = -1.
Since -1 is indeed equal to -1, the ordered pair (-1, -6) is a solution to the equation y = 6x.
In summary, the ordered pair (-1, -6) is a solution to the equation y = 6x because when we substitute the values of x and y into the equation, it holds true.