document.write( "Question 1108816: Mira is playing a game where she is trying to toss a ball into a large basket or a small basket. The large basket is worth 2 points, and the small basket is worth 3 points. Mira made 15 baskets for a total of 35 points. If x represents the number of large baskets made and y represents the number of small baskets made, how many large baskets did she make?\r
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Algebra.Com's Answer #723816 by ikleyn(52788) $\"\"$ $\"About$

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document.write( "From the condition, you have this system of two equations in two unknowns\r\n" );
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document.write( " x +  y = 15,    (1)\r\n" );
document.write( "2x + 3y = 35.    (2)\r\n" );
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document.write( "From equation (1), express  y = 15-x  and substitute it into equation (2), replacing y.\r\n" );
document.write( "In this way, you will get a single equation for only one unknown x, which is your main interest.\r\n" );
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document.write( "2x + 3*(15-x)  = 35.     (It is how the Substitution method works.)\r\n" );
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document.write( "Simplify and solve it for x:\r\n" );
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document.write( "2x + 45 - 3x = 35  ====>  -x = 35 - 45  ====>  -x = -10  ====>  x = 10.\r\n" );
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document.write( "Answer.  10 large baskets.\r\n" );
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\n" ); document.write( "\n" ); document.write( "On the way, you learned on how the Substitution method works.\r
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