If a weekend special is for 2 nights and 3 meals for $195, and another cost is 3 nights and 5 meals for $300, what is the meal price and how much does each night cost? x = night
y = meal 2x + 3y = 195> 6x  9y = 585 {multiplied top equation by 3} 3x + 5y = 300> 6x + 10y = 600 {multiplied bottom equation by 2} y = 15 {added the two new equations together} 2x + 3y = 195 {top equation} 2x + 3(15) = 195 {substituted 15, in for y, into top equation} 2x + 45 = 195 {multiplied 3 by 15} 2x = 150 {subtracted 45 from both sides} x = 75 {divided both sides by 2} meal = $15 night = $75 © Algebra House
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