Respuesta :
[tex]x - 2y = 3 \\ 2x - 3y = 9 \\ \\ - 2x + 4y = - 12 \\ \: 2x - 3y = 9 \\ \\ y = - 3 \\ 2x + 9 = 9 \\ 2x = 0 \\ x = 0 \\ x = 0 \: \: y = - 3[/tex]
Answer:
(9, 3)
Step-by-step explanation:
I'd strongly suggest that you write these two equations one above the other:
x-2y=3
2x-3y=9
Let's eliminate x by addition / subtraction: Multiply the first equation by -2 to obtain -2x in the first row over +2x in the second row:
-2x + 4y = -6
2x - 3y = 9
--------------------
y = 3
Now subst. 3 for y in the first equation: x - 2y = 3 becomes:
x - 2(3) = 3, or
x = 6 + 3 = 9
The solution is (9, 3).