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Let the shirts be x and the slacks be y and form a simultaneous equation:-

2(2x+1y = 55)

1x+2y = 68

Multiply all terms in the top equation by 2:-

4x+2y = 110

1x+2y = 68

Subtract the equations to eliminate y:-

3x = 42

Divide both sides by 3 to find the value of x:-

x = 14

Substitute the value of x into the original equations to find the value of y:-

x = 14 and y = 27

Therefore a shirt cost 14 and and a pair of slacks cost 27

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Q: Patrick bought 2 shirts and 1 pair of slacks for a total of 55 Ray bought 1 shirt and 2 pairs of slacks for 68 at the same store. find the cost of a shirt and a pair of slacks.?
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