Solve ax + by = −c for x.

x equals the quantity negative b times y minus c all over a
x equals the quantity negative b times y plus c all over a
x equals the quantity b times y plus c all over a
x equals the quantity b times y minus c all over a

  x equals the quantity negative B times y minus C all over A

Step-by-step explanation:

Subtract By and divide by A:

  Ax + By = -C . . . . starting equation

  Ax = -By -C . . . . . subtract By from both sides

  x = (-By -C)/A . . . . divide both sides by A

whose power in the senate is equal to the power of the speaker of the house?

step-by-step explanation:

{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