When solving left brace Start 2 By 1 Matrix 1st Row 1st Column 3 x minus 2 y equals 9 2nd Row 1st Column y equals 6 x minus 6 EndMatrix 3x−2y=9 y=6x−6 by the substitution method, x equals one thirdx= 1 3 is obtained. Find the solution set.
3x - 2y = 9
y = 6x - 6
Substituting 6x - 6 for y in the top equation: 3x - 2(6x - 6) = 9
3x - 12x + 12 = 9
- 9x + 12 = 9
-9x = -3
x = 1/3
When x = 1/3, using the second equation: y = 6(1/3) - 6 ---> y = 2 - 6 ---> y = -4
