Answer:
gloves cost $5
hats cost $4
Step-by-step explanation:
four pairs of gloves and four hats for $36.00
4g + 4h = 36
three pairs of gloves and four hats for $31.00
3g + 4h = 31
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Subtract the second equation from the first
4g + 4h = 36
-( 3g + 4h = 31 )
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g = 5
gloves cost $5
substitute for g = 5 into either equation
4(5) + 4h = 36
20 + 4h = 36
Subtract 20 from both sides
4h = 16
Divide both sides by 4
h = 4
hats cost $4
Step-by-step explanation:
1st) Distribute 8 with x and 8 with -1 which will give you
8x-8=5x-35
2nd) Use opposite operation and add 8 both sides
8x-8=5x-35
+8 +8
---------------
8x=5x-27
3rd) subtract 5x from both sides
8x=5x-27
-5x= -5x
_______
3x=-27
4th) Divide 3 from both sides so -27 by 3
3x=-27
_ _
3 3
ANSWER X=-9