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For what value of

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The ACT Mathematics Test contains 60 questions to be answered in 60 minutes.  The hardest ACT math questions (the last 10 to 15 questions) fall into two types: advanced concepts and complex questions. Advanced concepts questions cover what you learn in precalculus and trigonometry. FYI: Students that get into Harvard College have an ACT score of 34–36.

For what value of <em a</em> would this system of equations have an infinite number of solutions?<img alt='images' src='https://www.fatskills.com/images2/ACT/eq02336.png'/><!--<m:math display='block' overflow='scroll' xmlns:m='http://www.w3.org/1998/Math/MathML'><m:mtable><m:mtr><m:mtd><m:mn>2</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>3</m:mn><m:mi>y</m:mi><m:mo>=</m:mo><m:mn>12</m:mn></m:mtd></m:mtr><m:mtr><m:mtd><m:mn>8</m:mn><m:mi>x</m:mi><m:mo>+</m:mo><m:mn>12</m:mn><m:mi>y</m:mi><m:mo>=</m:mo><m:mn>4</m:mn><m:mi>a</m:mi></m:mtd></m:mtr></m:mtable></m:math>--><>






 
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