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Dennis_Churaev [7]
3 years ago
8

Consider the following pair of equations:

Mathematics
1 answer:
Paha777 [63]3 years ago
3 0
X-1=3x+3----plug the second equation in for x
-4=2x-------get the x on one side by subtracting x and 3
x=-2------divide by 2
y=x-1
y=-3------plug in x

(-2,-3)
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Jasmine buys 3 T-Shirts and 3 Hats for $11.25. The next day, he buys 4 T-Shirts and 2 Hats for $10. How much does each T-Shirt a
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Answer: Each shirt costs $1.25, and each hat costs $2.5.

Step-by-step explanation:

Let x= Cost per T-shirt, y = Cost per Hat.

As per given,

3x+3y=11.25        (i)

4x+2y=10             (ii)

Multiply 4 to equation (i)

12x+12y=45          (iii)

12x+6y= 30             (iv)

Eliminate (iv) from (iii), we get

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⇒3x= 3.75

⇒x= 1.25

Hence, each shirt costs $1.25, and each hat costs $2.5.

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