5 - 5x - 8y = 17

(2x - 7y=-17

solve the system of equations

{x, y} = {-5,1}

Find y for the system of two equations 2x-7y=-17 and - 5x-8y=17

Step-by-step explanation:

[1] - 5x - 8y = 17

[2] 2x - 7y = - 17

-8y - 5x = 17 - 7y + 2x = - 17

[2] 2x = 7y - 17

[2] x = 7y/2 - 17/2

/ / Plug this in for variable x in equation [1]

[1] - 5• (7y/2-17/2) - 8y = 17

[1] - 51y/2 = - 51/2

[1] - 51y = - 51

/ / Solve equation [1] for the variable y

[1] 51y = 51

[1] y = 1

/ / By now we know this much:

x = 7y/2-17/2

y = 1

/ / Use the y value to solve for x

x = (7/2) (1) - 17/2 = - 5

Solution:

{x, y} = {-5,1}