Question 544678
3(x-1) + 2(y+3) = 8
4x - (y-6) = 9 
:
simplify both equations
3x - 3 + 2y + 6 = 8
3x + 2y + 3 = 8
3x + 2y = 8 - 3
3x + 2y = 5
and
4x - y + 6 = 9
-y = -4x + 9 - 6
-y = -4x + 3
Make y positive, mult by -1
y = 4x - 3;
 use this for substitution in the 1st equation
3x + 2y = 5
3x + 2(4x-3) = 5
3x + 8x - 6 = 5
11x = 5 + 6
11x = 11
x = 11/11
x = 1
Find y, using eq: y = 4x - 3 
y = 4(1) - 3
y = 4 - 3
y = 1