document.write( "Question 500077:  a is comp. to b
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document.write( "b is comp to c
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document.write( "a=3x+y
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document.write( "b=x+4y+2
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document.write( "c=3y-3
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document.write( "Find b \n" );
document.write( "
| Algebra.Com's Answer #338277 by cleomenius(959)     You can put this solution on YOUR website! We will set these up with simultaneous equations. \n" ); document.write( "3x + y + x + 4y + 2 = 90 \n" ); document.write( "4x + 5y = 88 equation 1. \n" ); document.write( "============================= \n" ); document.write( "x + 4y + 2 + 3y - 3 = 90 \n" ); document.write( "x + 7y = 91 equation 2. \n" ); document.write( "============================== \n" ); document.write( "4x + 5y = 88 equation 1. \n" ); document.write( "x + 7y = 91 equation 2. \n" ); document.write( "============================= \n" ); document.write( "4x + 5y = 88 equation 1. \n" ); document.write( "Now, multiply equation two by -4 \n" ); document.write( "-4x - 28y = - 364 \n" ); document.write( "and then add to equation one, \n" ); document.write( "-23y = -276 \n" ); document.write( "solve for y. \n" ); document.write( "y = 12 \n" ); document.write( "=============================== \n" ); document.write( "Put this into equation one to solve for x. \n" ); document.write( "4x + 5y = 88 \n" ); document.write( "4x + 5(12) = 88 \n" ); document.write( "x = 7 \n" ); document.write( "==================================== \n" ); document.write( "Now, check this in equation two. \n" ); document.write( "7 + 7(12) = 91. \n" ); document.write( "This does check. \n" ); document.write( "================================================ \n" ); document.write( "Angle A= 3(7) + 12 = 33 degrees \n" ); document.write( "Angle B= 7 + 4(12) + 2 = 57 degrees \n" ); document.write( "Angle C= 3(12) - 3 = 33 degrees \n" ); document.write( "57 degrees + 33 degrees = 90 degrees. \n" ); document.write( "These do check. \n" ); document.write( "Cleomenius.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |