Question

Solve the System

2(y-x)=5+2x

2(y+x)=5-2y


A) (1/2,3/2)

B) (-2,2/3)

C) (-1/2,3/2)

D) (1/2,-3/2)

Must do Step-By-Step Explantination I need Help on this

Answer 1

Answer is D because I know
Explaintion: trust me

Answer 2

`y=(3)/(2),\:x=-(1)/(2)`

Explanation:

`\begin{bmatrix}5+6x=-4x\end{bmatrix}`

`-6`
`-6`

`-(5)/(10)=-(1)/(2)`

`x=-(1)/(2)`

`\mathrm{For\:}y=(5+2x)/(2)+x`

`\mathrm{Substitute\:}x=-(1)/(2)`

`y=(5+2\left(-(1)/(2)\right))/(2)-(1)/(2)`

`y=(3)/(2)`

`\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}`

`y=(3)/(2),\:x=-(1)/(2)`