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. (2 points)

Question

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. (2 points)

Answer 1

One way to find a value for x and y that make the equation true is to choose any number for x and then substitute it into the equation to solve for y.

Let's choose x = 8:

y = x - 6
y = 8 - 6
y = 2

So, when x = 8, y = 2.

Another way to think about it is to choose any value for y and then solve for x.

Let's choose y = 3:

y = x - 6
3 = x - 6
x = 3 + 6
x = 9

So, when y = 3, x = 9.

Therefore, there are multiple answers for x and y that can be substituted to make the equation true. For example, when x = 8, y = 2, and when y = 3, x = 9.

Answer 2

To find values for x and y that make the equation y = x - 6 true, we can substitute different values for x and solve for y.

Let's try substituting x = 10:

y = x - 6
y = 10 - 6
y = 4

So, when x = 10, y = 4 satisfies the equation y = x - 6.

Another example, let's try substituting x = -2:

y = x - 6
y = -2 - 6
y = -8

So, when x = -2, y = -8 also satisfies the equation y = x - 6.

As mentioned earlier, there can be several answers to this question, as any value of x can be used to find a corresponding value for y that satisfies the equation.