Answer:
{x,y}={6,2}
Explanation:
/ Solve equation [2] for the variable x
[2] 8x = 7y + 34
[2] x = 7y/8 + 17/4
// Plug this in for variable x in equation [1]
[1] 3•(7y/8+17/4) - 14y = -10
[1] - 91y/8 = -91/4
[1] - 91y = -182
// Solve equation [1] for the variable y
[1] 91y = 182
[1] y = 2
// By now we know this much :
x = 7y/8+17/4
y = 2
// Use the y value to solve for x
x = (7/8)(2)+17/4 = 6