Answer:
[tex]y = 9[/tex]
[tex]x = -3[/tex]
Step-by-step explanation:
Given
[tex]3x + 2y = 9[/tex]
[tex]3x + y = 0[/tex]
Required
Solve by elimination
To do this, we subtract both equations (to eliminate x)
[tex]3x + 2y = 9[/tex]
- [tex]3x + y = 0[/tex]
--------------------
[tex]3x - 3x + 2y - y = 9-0[/tex]
[tex]y = 9[/tex]
Substitute [tex]y = 9[/tex] in [tex]3x + y = 0[/tex]
[tex]3x + 9 = 0[/tex]
Solve for 3x
[tex]3x =- 9[/tex]
Solve for x
[tex]x = -9/3[/tex]
[tex]x = -3[/tex]
