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5x - 2y = -5 [Solve using substitution]
y - 5x = 3
y-5x=3 [Pick one equation and solve for one of the variables]
y=5x+3 [Substitute back into the other equation]
5x - 2(5x+3) = -5 [Simplify]
-5x=-5+6 [Solve for x]
y - 5x = 3 [Plug (x=-1/5)
y+1=3 [Solve for y]
Check by plugging (x=-1/5) and (y=2) into the other equation.