For the equation, y=x-6what value for x and y can be substituted to make a true number sentence? Show your work
There can be several answers here
To find a value for x and y that make the equation true, we can substitute different numbers and check if they satisfy the equation.
Let's try a few values:
1. If x = 0:
y = x - 6
y = 0 - 6
y = -6
The number sentence becomes -6 = 0 - 6, which is true.
2. If x = 10:
y = x - 6
y = 10 - 6
y = 4
The number sentence becomes 4 = 10 - 6, which is true.
3. If x = -3:
y = x - 6
y = -3 - 6
y = -9
The number sentence becomes -9 = -3 - 6, which is true.
Therefore, for x = 0, y = -6; for x = 10, y = 4; and for x = -3, y = -9, would all make the equation y = x - 6 true.
To find the values for x and y that make the equation y = x - 6 true, we need to substitute different values for x and see if the resulting y value satisfies the equation.
Let's start by substituting x = 3:
y = x - 6
y = 3 - 6
y = -3
Therefore, when x = 3, y = -3, and the equation y = x - 6 is true.
Now, let's try substituting x = 10:
y = x - 6
y = 10 - 6
y = 4
Therefore, when x = 10, y = 4, and the equation y = x - 6 is true.
There can be several other answers depending on the value we substitute for x, but these are two examples.