Question

resuelve por igualación
4x-9y=12 2x+6y=-1

Answer 1

$4x-9y=12\\ \\ 2x+6y=-1\\ \\ 4-9y=12---x=\frac{12+9y}{4} \\ \\ 2x+6y=-1---x=\frac{-1-6y}{2} \\ \\ \frac{12+9y}{4}=\frac{-1-6y}{2}\\ \\ 2(12+9y)=4(-1-6y)\\ \\ 24+18y=-4-24y\\ \\ 18y+24y=-4-24\\ \\ 42y=-28\\ \\ y=\frac{-28}{42}\\ \\ y=-\frac{2}{3} \\ \\ x=\frac{12+9y}{4} =\frac{12+9(\frac{-2}{3})}{4}=\frac{12-6}{4}=\frac{6}{4}\\ \\ x=\frac{3}{2}$