6x + 8y = 26 (eq. 1)
7x - 2y = 19 (eq. 2)
Multiplying the second equation by 4 we get:
4(7x - 2y) = 4*19
4*7x - 4*2y = 76
28x - 8y = 76 (eq. 3)
Adding equation 1 to equation 3:
6x + 8y = 26
+
28x - 8y = 76
-----------------------
34x = 102
x = 102/34
x = 3
Substituting this x-value into the first equation:
6*3 + 8y = 26
18 + 8y = 26
8y = 26 - 18
8y = 8
y = 8/8
y = 1
The solution is the point (3, 1).
