We can transform the mathematical sentence into the equation:
(2/3)*x - (2*y)^2 = 43
Here we have the sentence:
" Two thirds of a number decreased by the product of a number and two, squared, is 43"
First, we can define x as "the number"
Then:
" Two thirds of a number..." is:
(2/3)*x
Now we add the next part:
"... decreased by the product of a number and two, squared, is 43"
Assuming that this is another number, let's call it y, we have:
(2/3)*x - (2*y)^2 = 43
This is our two-variable equation.
If you want to learn more about equations, you can read:
https://brainly.com/question/2972832