Use substitution {y-4x=-7 5x+y=-6

y - 4x = -7 1

5x+y=-6 2

Make y the subject in equation 1

Thus

y = - 7 + 4x

Substitute this into Equation 2

We get

5x - 7 + 4x = - 6

9x = -6 + 7

9x = 1

x = 1/9

Substitute x = 1/9 into equation 1

y = -7 + 4x

y = - 7 + 4(1/9)

y = -7 + 4/9

y = - 59/9

x = 1/9 , y = -59/9

Hope this helps

{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