document.write( "Question 860382: Use algebra to find the point at which the line k(x) = -1/2 x + 25/8 intersects the line h(x) = 5/4 x + 155/16. \r
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document.write( "We're solving 2x2 systems using graphing but I don't recognize the k(x) and the h(x). \n" );
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Algebra.Com's Answer #518382 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Use algebra to find the point at which the line k(x) = -1/2 x + 25/8 intersects the line h(x) = 5/4 x + 155/16. \r \n" ); document.write( "\n" ); document.write( "We're solving 2x2 systems using graphing but I don't recognize the k(x) and the h(x). \n" ); document.write( "------------- \n" ); document.write( "k(x) and h(x) are functions of x. \n" ); document.write( "To graph them, replace them with y: \n" ); document.write( "y = -x/2 + 25/8 \n" ); document.write( "y = 5x/4 = 155/16 \n" ); document.write( "Same thing. \n" ); document.write( "----- \n" ); document.write( "Since they both equal y (or the function h(x) & k(x) are equal at the intersection), \n" ); document.write( "-x/2 + 25/8 = 5x/4 + 155/16 \n" ); document.write( "Step 1, eliminate fractions - multiply by 16 \n" ); document.write( "-8x + 50 = 20x + 155 \n" ); document.write( "-105 = 28x \n" ); document.write( "x = -15/4 \n" ); document.write( "------- \n" ); document.write( "Sub for x in any function or eqn to find y, and h(x) & k(x) \n" ); document.write( " \n" ); document.write( " |