Question

4x+3y=14-yx-5y=23. IF (x, y) is a solution to the system of equationsabove, what is x - y?A) 1B)C) 3D) 18

Answer 1

`\begin{gathered} 4x+3y=14-y \\ 4x+3y+y=14 \\ 4x+4y=14\text{. It can reduced by dividing through by 2} \\ 2x+2y=7\ldots\ldots\ldots\ldots\text{.......}(1) \\ x-5y=2\ldots\ldots\ldots.......(2) \\ x=2+5y \\ 2(2+5y)+2y=7 \\ 4+10y+2y=7 \\ 12y=3 \\ y=(3)/(12)=(1)/(4) \\ x=2+5((1)/(4)) \\ x=(8+5)/(4)=(13)/(4) \\ x-y=(13)/(4)-(1)/(4)=(12)/(4)=3 \end{gathered}`

C. 3