SOLUTION: a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the shirt?

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Question 75369: a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the shirt?
Answer by tutorcecilia(2152) About Me  (Show Source):
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a sweater cost $12 more than a shirt. Together they cost $46. What was the price of the shirt?
Sweater + Shirt = 46
Sweater = Shirt + 12
So, (Shirt+12) + Shirt = 46
2Shirt + 12=46 [Solve for the "Shirt"]
2Shirt=46-12
2Shirt=34
2/2Shirt=34/2
Shirt=$17
or
x+y=46
(y+12)+y=46
2y+12=46
2y=46-12
2y=34
2/2y=34/2
y=17
.
.
Check by plugging the values back into the original equation:
Sweater + Shirt = 46
(17+12) + 17=46
29+17=46
46=46 [checks out]