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In a certain clothing store 6 shirts and 3 ties cost $79.50 and 3 shirts and 2 ties cost $41 determine the cost of each shirt

Sagot :

Answer:

Step-by-step explanation:

lets have the shirts represent s and the ties t.

1. 6s+3t=79.50

2. 3s+2t=41

These would be the equations.

you multiply the second equation by -2 to cancel s and add both equations.

6s+3t=79.50

-6s+-4t=-82

-1t=-2.5 (after adding you divide by -1)

t=2.5

You can then subsitute that in either equation.

I am going to ue teh second one.

3s+2t=41

3s+2(2.5)=41

3s+5=41 (subract 5 to isolate variable)

3s=36 (divide by 3 to isolate variable)

s=12

Hence, one shirt is 12$.

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