Solve this system of equations:
2x + 10y= 24
X = y-6

(-3,3)

Step-by-step explanation:

Substitute x for the first equation

2(y-6) + 10y= 24

2y-12+10y=24

12y=36

y=3

Now solve for x by plugging in 3

x = 3-6

x=-3

x = -3

y = 3

Step-by-step explanation:

2x + 10y = 24

x = y - 6

plugin x = y - 6 into the first equation

2(y - 6) + 10y = 24

solve for y

2y - 12 + 10y = 24

12y = 36

y = 3

plug y back into x = y - 6

x = 3 - 6

x = -3

-50/3

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