How do you write six times the quantity two x plus three y with numbers?

12x + 18y

Step-by-step explanation:

Lets first write the quantity "two x plus three y", this means, that we have x and y as unknowns. x is 2 times, so we have 2x; and y is 3 times, so he have 3y:

2x + 3y

Additionally we have that this quantity is six times, what means that it is multiplied by a number 6:

6 (2x + 3y)

If you like, we can apply the distributive property that means that given any three numbers a, b, c we have that a (b+c) = ab + ac. In our case a is 6, b is 2x and c is 3y. Thus, operating:

6 (2x + 3y) = 6*2x + 6*3y = 12x + 18y

So, "six times the quantity two x plus three y" is 12x + 18y