The value of y is 1.6
The value of x is 4.5
By elimination:
2x + 5y = 17
6x - 5y = 19
We can add the second equation to the first in order to isolate one variable.
(2x + 5y) + (6x - 5y)
8x = 17
Because we added the left side, we have to add the right side here as well.
17 + 19 = 36
8x = 36
Divide both sides by 8
x = 4.5
We can plug this value back into the original equation to find the value of y.
2(4.5) + 5y = 17
9 + 5y = 17
Subtract 9 from both sides.
5y = 8
Divide both sides by 5.
y = 1.6