Consider that (x, y) is a solution to the system of equations. What is the product of x and y? 2x - 5y = 10 4x + 3y = 7

x = 5/2, y = - 1

x*y = 5/2*-1 = - 5/2

Step-by-step explanation:

First we solve the system

2x-5y = 10

x = 5 + 5y/2

4x + 3y = 7

4 (5 + 5y/2) + 3y = 7

20 + 10y + 3y = 7

-13 = 13y

y = - 1

Now go back to the other equation

2x - 5y = 10

2x - 5 (-1) = 10

2x + 5 = 10

2x = 5

x = 5/2

Now we multiply x and y together

B - 5/2