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What is the solution for the system of equations?

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While shopping at Wally’s, Emily buys her children 3 shirts and 2 pair of slacks for $85.50. The next day she returns to buy 4 more shirts and 3 more pair of slacks for $123. What is the price of each shirt and each pair of slacks? Define each of the variables, State the two equations for the system of equations,

asked Apr 24, 2013 in ALGEBRA 1 by mathgirl Apprentice

1 Answer

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Sh = shirts
Sl = Slacks

3*Sh + 2*Sl = 85.5
4*Sh + 3*Sl = 123
multiply the upper equation with 3, the lower one with 2 ->
9*Sh + 6*Sl = 256.5
8*Sh + 6*Sl = 246
subtract one from the other ->
1*Sh = 10.5
insert that value in one equation ->
31.5 + 2*Sl = 85.5 -> 1*Sl = 27

so, one shirt costs 10.5 and one pair of slacks 27 dollars.

 

answered Apr 24, 2013 by casacop Expert

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