drwls, is this correct,math

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drawls this is from the previous post is this correct.

solve the system by subtraction.
5x-3y=13
4x-3y=11

equation#2 woudl be
4x-3y=11
-3y = -4x+11
y = (4)/(3) x - (11)/(3)

so now i substitute it to equation #1
5x - 3((4)/(3)x - (11)/(3)= 13
5x - 4 x +11 = 13
1x + 11 = 13
1x = 13-11
1x= 2
x = 2

now i substitute back into equation #1
5(2)-3y=13
10-3y=13
-3y = 13-10
-3y=3
y=-1

so , my solution would be (2,-1)

am i correct?

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