Given that 3x_5y_3=0 and 2y _6x+5=0

Answer 1

, we can solve for x and y by setting each equation equal to zero and solving for the variables.

Starting with the first equation:
3x + 5y = 3
3x = -5y
x = -5y/3

Now, substitute x = -5y/3 into the second equation:
2y + 6(-5y/3) + 5 = 0
2y - 10y + 5 = 0
-8y + 5 = 0
-8y = -5
y = 5/8

Now, substitute y = 5/8 back into x = -5y/3:
x = -5(5/8)/3
x = -25/24

Therefore, the solution to the given system of equations is x = -25/24 and y = 5/8.