Answer
The solution is:
$x=5$
$y=0$
Work Step by Step
$2x=5(2-y)$
$y=(-x+5)$
then
$2x+5y=10$ (1)
$x+y=5$ (2)
Eliminate a variable:
$2x+5y=10$
$-2x+-2y=-10$
___________________
$3y=0$
Solve for y: $y=0$
$x=5$
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