Answer
one solution, (2,0)
Work Step by Step
Multiply the first equation by 2. Add the equations.
$5x-3y=10\ \ \ \ \ $multiply by 2$\ \ \ \ 10x-6y=20$
$10x+6y=20\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{10x+6y=20}$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 20x\ \ \ \ \ \ \ \ =40$
Solve for x.
$20x=40$
$20x\div20=40\div20$
$x=2$
Substitute 2 for x in either equation to solve for y.
$10x+6y=20$
$10(2)+6y=20$
$20+6y-20=20-20$
$6y=0$
$6y\div6=0\div6$
$y=0 $
