a: \(x_{M}+y_{M}=0\)
=>\(y_{M}=-x_{M}\)
Thay y=-x vào y=3x, ta được:
3x=-x
=>4x=0
=>x=0
=>\(y_{M}=-0=0\)
=>M(0;0)
b: \(x_{M}+2\cdot y_{M}=-14\)
=>\(x_{M}=-2\cdot y_{M}-14\)
\(y=3x\)
=>\(y=3\left(-2x-14\right)=-6x-42\)
=>7x=-42
=>x=-6
=>\(y=3\cdot\left(-6\right)=-18\)
=>M(-6;-18)
c: 3x-2y=9
y=3x
Do đó: \(3x-2\cdot3x=9\)
=>-3x=9
=>x=-3
=>y=3*(-3)=-9
=>M(-3;-9)

