Question

X+2y=12
3x-10y = 0

y=?
x=?

Answer 1

`x+2y=12|\cdot5\\ 3x-10y=0\\\\ 5x+10y=60\\ \underline{3x-10y=0}\\ 8x=60\\ x=(60)/(8)=(15)/(2)\\\\ (15)/(2)+2y=12\\ 15+4y=24\\ 4y=9\\ y=(9)/(4)\\\\ \boxe{(x,y)=\left((15)/(2),(9)/(4)\right)}`

Answer 2

`~~x+2y=12 \\ ~~3x-10y=0 \\ ~------ \\~ -3/x+2y=12 \\ ~~~~~~3x-10y=0 \\ ------- \\ -3x-6y=-36 \\ ~~~~3x-10y=0 \\ +------- \\ ~~~~-16y=-36 \\ \\ ~~~~y= (36)/(16)\rightarrow \boxed{(9)/(4)} \\ \\`

`x+2. (9)/(4) =12 \\ \\ x+ (18)/(4) =12 \\ \\ (4x+18)/(4) =12 \\ \\ 4x+18=48 \\ 4x=30 \\ \\ x=\boxed{(15)/(2)}`