document.write( "Question 500077: a is comp. to b
\n" ); document.write( "b is comp to c
\n" ); document.write( "a=3x+y
\n" ); document.write( "b=x+4y+2
\n" ); document.write( "c=3y-3
\n" ); document.write( "Find b
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Algebra.Com's Answer #338277 by cleomenius(959)\"\" \"About 
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.
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\n" ); document.write( "x + 4y + 2 + 3y - 3 = 90
\n" ); document.write( "x + 7y = 91 equation 2.
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\n" ); document.write( "4x + 5y = 88 equation 1.
\n" ); document.write( "x + 7y = 91 equation 2.
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\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
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\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
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\n" ); document.write( "Now, check this in equation two.
\n" ); document.write( "7 + 7(12) = 91.
\n" ); document.write( "This does check.
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\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
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