Solve the following system for y.
2x-15y=-10
-4x=5y=-30
First, let's simplify the second equation by combining the terms:
-4x - 5y = -30
-5y = 4x - 30
y = (4x - 30)/(-5)
y = (-4x + 30)/5
Next, substitute this value of y into the first equation and solve for x:
2x - 15((-4x + 30)/5) = -10
2x + 60x - 450 = -10
62x = 440
x = 440/62
x = 70/31
Finally, substitute the value of x back into the equation y = (-4x + 30)/5 to find the value of y:
y = (-4(70/31) + 30)/5
y = (-280/31 + 30)/5
y = (-280 + 930)/155
y = 650/155
y = 130/31
Therefore, the solution to the system of equations is:
x = 70/31 and y = 130/31.