For the equation, y=x−6
, what value for x and y can be substituted to make a true number sentence? Show your work.
Note: There can be several answers here.
To find values for x and y that satisfy the equation y = x - 6, we can choose any value for x and then calculate the corresponding value for y using the equation.
Let's choose x = 10:
y = 10 - 6
y = 4
Therefore, when x = 10, y = 4 is a valid solution for the equation y = x - 6.
Another possible solution could be:
x = -4:
y = -4 - 6
y = -10
Hence, when x = -4, y = -10 is also a valid solution for the equation y = x - 6.
These are just two examples of values for x and y that satisfy the equation, but there are infinitely many possible solutions.
To find values for x and y that make the equation y = x - 6 true, we can substitute different values for x and calculate the corresponding value of y.
Let's try substituting x = 10:
y = 10 - 6
y = 4
So, when x = 10, y = 4, and the equation y = x - 6 is true.
Let's also try substituting x = -3:
y = -3 - 6
y = -9
So, when x = -3, y = -9, and the equation y = x - 6 is true.
As mentioned earlier, there can be several solutions for this equation. In fact, every value for x will have a corresponding value for y that would make the equation true.
To find a value for x and y that makes the equation y = x - 6 true, we need to substitute different values for x and see if the equation holds.
Let's start by substituting x = 0 into the equation:
y = 0 - 6
y = -6
When x = 0, y = -6. So, the pair (0, -6) can be substituted to make the equation true.
Now, let's substitute x = 6 into the equation:
y = 6 - 6
y = 0
When x = 6, y = 0. So, the pair (6, 0) can be substituted to make the equation true.
We can continue substituting different values for x and finding the corresponding y values to identify more pairs that satisfy the equation.
For example, if we substitute x = 3 into the equation:
y = 3 - 6
y = -3
When x = 3, y = -3. So, the pair (3, -3) can also be substituted to make the equation true.
Other pairs could be found by substituting different values for x and calculating the corresponding y values using the equation y = x - 6.
Therefore, there can be several pairs that satisfy the equation y = x - 6, such as (0, -6), (6, 0), (3, -3), and many more.