Question

2x-3y=14
2x-y=-10
How you do this ?

Answer 1

Hello there !

$2x-3y=14 \\ 2x-y=-10 \\ \\2x-3y=14 \\ 2x=y-10 \\ \\ y-10-3y=14 \\ -10-14=-y+3y \\ -24=2y \\ \boxed{-12=y} \\ \\ 2x-y=-10 \\ 2x-(-12)=-10 \\ 2x=-10-12 \\ 2x=-22 \\ \boxed{=-11}$

Answer 2

$2x-3y=14\ / \cdot(-1)\\2x-y=-10\\\\-2x+3y=-14\\2x-y=-10\\--------\\3y-y=-14-10\\2y=-24\ /:2\\y=-12\\\\2x-y=-10\\ \Rightarrow\ \ \ 2x-(-12)=-10\ \ \ \Rightarrow\ \ \ 2x+12=-10\ \ \ \Rightarrow\ \ \ 2x=-22\ /:2\\\Rightarrow\ \ \ x=-11\\\\ \left \{{\big {x=-11} \atop \big {y=-12}} \right.$