Usually elimination is used on two equations and is called linear combination. You could solve for "y." That is customary.
2x+3y=1
3y=-2y+1
y=(-2/3)x+1/3
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y=16 x= -4
(2,-2)
Yes and it works out that x = 3 and y = 4
Double first equation: 2x + 2y = 4 Subtract this from second equation giving 5y = 5 so y = 1 and x = 1
2x-3y=13