Question

If -6x + 6y = -9 is a true equation, what would be the value of 1x - 18y?

Answer 1

First, simplify the given equation by dividing by 6 to find a relation between x and y. Then, multiply the simplified equation by -18 to find the value of 1x - 18y. It reveals that if -6x + 6y = -9 is true, then 1x - 18y equals -27.

Step-by-step explanation:

If we have the equation -6x + 6y = -9, we can try to find the value of 1x - 18y.

Firstly, let's simplify the given equation by dividing every term by 6:

• -6x / 6 + 6y / 6 = -9 / 6
• -x + y = -1.5

This simplification gives us a relationship between x and y. Now let's multiply the entire equation by -1 to solve for x:

• x - y = 1.5

Since we need to find the value of 1x - 18y, let's multiply our simplified equation by -18:

• x * (-18) - y * (-18) = 1.5 * (-18)
• -18x + 18y = -27

Now we have two equations:

1. -6x + 6y = -9
2. -18x + 18y = -27

By observing these equations, we can see that the second one is just three times the first one, which means if the first one holds, the second one will also hold. Therefore, the value of 1x - 18y is -27.