The two given equations are
(1) x + 2y = 13
(2) x = 2 + 6y
We will arrange the terms in the same order
(1) x + 2y = 13
(2) x - 6y = 2
Multiply (2) with -1
(1) x + 2y = 13
(2) (x - 6y = 2) (-1)
(1) x + 2y = 13
(2) -x + 6y = -2
We will do elimination method now, by adding the 2 equations
(1) x + 2y = 13
(2) -x + 6y = -2
_____________
(3) 8y = 11
8y/8 = 11/8
y = 11/8
Let's substitute y= 11/8 to (1)
(1) x + 2y = 13
x + 2(11/8) = 13
x + 11/4 = 13
x = 13 - 11/4
x = (52-11)/4
x = 41/4
Therefore, the answers are x = 41/4 and y= 11/8
