To solve the system know by the first equation that y = -9x + 13, so if we replace this on the second equation, we get:
y = 6x - 2
-9x + 13 = 6x - 2
Then, solving for x, we get:
-9x + 13 - 13 = 6x - 2 - 13
-9x = 6x - 15
-9x - 6x = 6x - 15 - 6x
-15x = -15
x = (-15)/(-15)
x = 1
Therefore, we can calculate y as:
y = -9x + 13
y = -9*1 + 13
y = -9 + 13
y = 4
So, the solution is ( x , y ) = ( 1 , 4 )
Answer: (1,4)