SOLUTION: solve each system using the substitution method or the addition method x-3/2=2-y/4 7-2x/3=y/2

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Question 1002235: solve each system using the substitution method or the addition method
x-3/2=2-y/4
7-2x/3=y/2

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
x-3/2=2-y/4
7-2x/3=y/2
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x-3/2=2-y/4 Multiply both sides by 4:
4x-6= 8-y Add 6 to both sides:
4x= 14-y This is the equation we'll use for the addition.
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7-2x/3=y/2 Subtract 7 from both sides
-2x/3= -7+y/2 Multiply all sides by 6:
-4x= -42+3y
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Now let's add:
4x= 14-y
+
-4x= -42+3y
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0x= -28+2y Add 8 on both sides
28= 2y Divide both sides by 2
y= 14 and
14x= 14-y
14x= 14-14
14x= 0
x= 0