Question

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

Answer 1

x = 5/2, y = -1

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

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

Answer 2

B -5/2

Explanation: