Solve the system of equations algebraically. 5x-3y=6 6x-5y=10

The solution is x = 0, y = - 2.

Step-by-step explanation:

5x - 3y = 6

6x - 5y = 10

If we multiply the first equation by 5 and the second by - 3 we get:

25x - 15y = 30

-18x + 15y = - 30 Adding these 2 equations eliminates y, we get:

7x + 0 = 0

x = 0.

Substituting x = 0 in the first equation:

5 (0) - 3y = 6

y = 6/-3 = - 2.