Answer
The store rents 5 new games.
Work Step by Step
Write the system of equations. Let x = the number of new games, and let y = the number of older games.
$x+y=6$
$4x+2y=22$
Use the first equation to solve for $y$:
$x+y=6$
$y=6-x$
Substitute $y=6-x$ for y in the second equation.
$4x+2(6-x)=22$
$4x+12-2x=22$
$2x=10$
$x=5$
Solve for $y$: $x+y=6$
$5+y=6$
$y=1$
The system’s solution is $(5,1)$. The store rents 5 new games.
