Solve for y. 10(30x - 5y)= -40y +600 a) y=1/3 x +6.67 b) y=3x + 595 c) y=10x +60 d) y=30x-60 I think it's d but im so dumb-

d is correct

Step-by-step explanation:

Given

10(30x - 5y) = - 40y + 600 ( divide both sides by 10 )

30x - 5y = - 4y + 60 ( add 5y to both sides )

30x = y + 60 ( subtract 60 from both sides )

30x - 60 = y → d

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1