document.write( "Question 75618: Hello out there,I have some questions towards some difficult equations,can someone help me please,the first question is,A solution of the equation 4x=10-cy is (5,-2).What is the value of c?The next one is,Find g(9) given that g(x)=2x+3.The next is,Find h(4) given that h(x)=x/2minus7.And the last one is,Assume that y varies directly as x.Find y when x =54 if y= 1/4 when x=3/2.Thanks for whoever can help. \n" ); document.write( "
Algebra.Com's Answer #54283 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
first question is,A solution of the equation 4x=10-cy is (5,-2).What is the value of c?
\n" ); document.write( "Let x=5; let y=-2
\n" ); document.write( "4*5 = 10 - c*-2
\n" ); document.write( "20 = 10 + 2c
\n" ); document.write( "2c=10
\n" ); document.write( "c=5
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\n" ); document.write( "\n" ); document.write( "The next one is,Find g(9) given that g(x)=2x+3.\r
\n" ); document.write( "\n" ); document.write( "g(9)=2*9+3=21
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\n" ); document.write( "\n" ); document.write( "The next is,Find h(4) given that h(x)=x/2minus7.
\n" ); document.write( "h(4)= 4/2 - 7
\n" ); document.write( "h(4)= 2-7
\n" ); document.write( "h(4)=-5
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\n" ); document.write( "\n" ); document.write( "And the last one is,Assume that y varies directly as x.Find y when x =54 if y= 1/4 when x=3/2.
\n" ); document.write( "If y vaies directly as x, y=kx
\n" ); document.write( "If y=1/4 when x= 3/2 then (1/4)=k(3/2) and k=(1/4)*(2/3)=1/6
\n" ); document.write( "So the proper equation is y= (1/6)x
\n" ); document.write( "Now, find y when x=54:
\n" ); document.write( "y=(1/6)54
\n" ); document.write( "y=9
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \r
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