Question #6 - Which ordered pair is a solution for the equation?
Which ordered pair is a solution for the following equation? Select all that apply.
y = 3x − 7
There is no equation provided, so there are no possible solutions.
To determine which ordered pairs are solutions for the equation y = 3x - 7, you need to substitute the values of x and y into the equation and check if the equation holds true.
Let's say we have some ordered pairs: (x, y). For each pair, substitute the x-value into the equation and check if it equals the corresponding y-value.
For example, let's take the ordered pair (2, -1). Substitute x = 2 and y = -1 into the equation:
-1 = 3(2) - 7
-1 = 6 - 7
-1 = -1
The equation holds true in this case, so (2, -1) is a solution.
Now, let's try another ordered pair, (4, 5):
5 = 3(4) - 7
5 = 12 - 7
5 = 5
Again, the equation holds true for this pair, so (4, 5) is a solution.
To find additional solutions, continue substituting different values for x and checking if the equation holds true. You can generate ordered pairs by selecting different values for x and calculating the corresponding y-value using y = 3x - 7.
Remember to check each pair by substituting the values into the equation. The pairs where the equation holds true are the solutions for the given equation.
To determine which ordered pair is a solution for the equation y = 3x - 7, we need to substitute different values for x and see if we get a valid result for y.
Let's plug in some values for x and calculate the corresponding y value.
For example, let's substitute x = 2:
y = 3(2) - 7
y = 6 - 7
y = -1
Therefore, the ordered pair (2, -1) is a solution for the equation y = 3x - 7.
Now, let's try another value. Let's substitute x = 5:
y = 3(5) - 7
y = 15 - 7
y = 8
Thus, the ordered pair (5, 8) is also a solution for the equation y = 3x - 7.
To summarize, the solutions for the equation y = 3x - 7 are the ordered pairs: (2, -1) and (5, 8).