Find the solution for x and y

[tex]\{-7x-2y=14 \ \ /\cdot3\\\{6x+6y=18\\\\\{-21x-6y=42\\+\{6x+6y=18\\---------\\\\-15x=60 \ \ /:(-15)\\\\\huge\boxed{x=-4}\\\\6\cdot(-4)+6y=18\\\\-24+6y=18 \ \ /+24\\\\6y=42 \ \ /:6\\\\\huge\boxed{y=7}[/tex]
Answer:
Below
Step-by-step explanation:
Here is how to solve this by elimination
Divide both sides by 3
-7x - 2y = 14
2x + 2y = 6
Eliminate one variable by adding the equations
-5x = 20
Divide both sides by -5
x = -4
Sub in x to -7x -2y = 14
-7x (-4) -2y = 14
y = 7
So, ( x, y ) --> ( - 4, 7 )
Hope this helps! Best of luck <3