How do I solve this?
7x-6y=22 12x-8y=1
1) 7x - 6y = 22
2) 12x - 8y = 1
Solve equation 1 for y in terms of x.
7x - 6y = 22
-6y = -7x + 22
y = 7/6 x - 22/6
Substitute that into equation 2, in place of y.
12x - 8y = 1
12x - 8(7/6 x - 22/6) = 1
12x - 4(7/3 x) + 4(22/3) = 1
12x - 28/3 x + 88/3 = 1
36/3 x - 28/3 x = 1 - 88/3
8/3 x = -85/3
8x = -85
x = -85/8
x = -10 5/8
Plug that into equation 1 and solve for y.
7x - 6y = 22
7(-85/8) - 6y = 22
-595/8 - 6y = 22
-6y = 22 + 595/8
-6y = 22 + 74 3/8
-6y = 96 3/8
y = -16 1/16
Check by plugging both values into equation 1.
7x - 6y = 22
7(-85/8) - 6(-16 1/16) = 22
-74.375 + 96.375 = 22