5x + 7y = 17 ....(1)
x + 4y = 19 .....(2)
From equation 2
x + 4y = 19
x = 19 - 4y
Putting the value of x in Equation (1)
5(19 - 4y) + 7y = 17
95 - 20y + 7y = 17
- 20y + 7y = 17 - 95
-13y = -78
y = [tex] \frac{78}{13} [/tex]
y = 6
Now, putting the value of y in equation (2)
x + 4y = 19
x + 4(6) = 19
x + 24 = 19
x = 19 - 24
x = -5
Therefore, the value of y is 6 and value of x is -5