Answer:
{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}
