#### Answer

(2,1)

#### Work Step by Step

Add the 2 equations. Align and add the like terms.
$3x+y=7$
$\underline{\ \ x-y=1}$
$4x\ \ \ \ \ \ \ =8\ \ \longrightarrow$ Divide both sides by 4 to solve for x.
$\ \ x\ \ \ \ \ \ \ =2$
Substitute 2 for x in one of the equations to solve for y.
$x-y=1\longrightarrow$ substitute for x
$2-y=1\longrightarrow$ add y to each side; subtract 1 from each side
$2-y+y-1=1+y-1\longrightarrow$ combine like terms
$1=y$