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# Simultaneous equations by elimination

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8 t-shirts and a hat costs £42.00 3 t-shirts and a hat costs £17.00. How much does a t-shirt cost? How much does a hat cost?

Guest Jul 2, 2017

#1
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Let the cost of a t-shirt = S

Let the cost of a hat = H

8S + H =42

3S + H =17   subtract the 2nd from the 1st.

5S = 25          divide both sides by 5

S = 25/5

S = 5 Pounds - the cost of 1 t-shirt.

[3x5] + H =17

15 + H = 17     subtract 15 from both sides

H =17 -15

H = 2 Pounds the cost of 1 hat.

Guest Jul 2, 2017
Sort:

#1
0

Let the cost of a t-shirt = S

Let the cost of a hat = H

8S + H =42

3S + H =17   subtract the 2nd from the 1st.

5S = 25          divide both sides by 5

S = 25/5

S = 5 Pounds - the cost of 1 t-shirt.

[3x5] + H =17

15 + H = 17     subtract 15 from both sides

H =17 -15

H = 2 Pounds the cost of 1 hat.

Guest Jul 2, 2017
#2
0

thanks!

Guest Jul 2, 2017

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