Question 798457
3x - 4y = -26
 x - 6y = 11
multiply the second equation by 3 and subtract it from the first:

3x -  4y = -26
3x - 18y =  33
14y = -59
14y/14 = -59/14
y = -59/14

substitute -59/14 for y in the first equation to get x

3x - 4(-59/14) = -26
3x + 118/7 = -26
3x + 118/7 - 118/7 = -26 - 118/7
3x = -300/7
3x/3 = (-300/7)/3
x = -100/7

check:
3(-100/7) - 4(-59/14) = -26
(-300/7)  (-118/7) = -26
-26 = -26

x - 6y = 11
(-100/7) - 6(-59/14) = 11
(-100/7) - (-177/7) = 11
11= 11