can anyone help me with this 2 simultaneous equations 3X-2Y=-9 and 4X+5Y=-1/2 ? many thanks.

Question

I have a problem with these 2 equations.

Answer 1

line 1: 3x-2y=-9  or y=(3/2)x +4.5

line 2: 4x+5y=-0.5

line1..4x +5*(1.5x +4.5)=-0.5

4x+7.5x +22.5=-0.5

11.5x=-23

x=-23/11.5=2

y=1.5x+4.5=3+4.5=7.5

Answer 2

3X-2Y=-9.........1 4X+5Y=-1/2 2*4x+2*5y=2*-1/2 8x+10y=-1.......2 eqn 1*5 15x-10y=-45.......3 add eqn 3 and 2 23x/23=-46/23 x=-2 3(-2)-2y=-9 -2y=-9+6 -2y/2=-3/2 y=-3/2