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 #54285 by Earlsdon(6294)\"\" \"About 
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1) The solution to \"4x+=+10-cy\" is (5, -2).
\n" ); document.write( "What is the value of c?
\n" ); document.write( "Since you have been given the solution of (5, -2) you can substitute x = 5 and y = -2 into the given equation and solve for c.
\n" ); document.write( "\"4%285%29+=+10+-+c%28-2%29\" Simplify.
\n" ); document.write( "\"20+=+10+%2B+2c\" Subtract 10 from both sides of the equation.
\n" ); document.write( "\"10+=+2c\" Finally, divide both sides by 2.
\n" ); document.write( "\"c+=+5\"\r
\n" ); document.write( "\n" ); document.write( "2) If g(x) = 2x+3 find g(9) Substitute 9 for x in the function.
\n" ); document.write( "g(9) = 2(9)+3
\n" ); document.write( "g(9) = 18+3
\n" ); document.write( "g(9) = 21\r
\n" ); document.write( "\n" ); document.write( "3)If \"h%28x%29+=+x%2F2+-+7\", find h(4) Substitute 4 for x in the function.
\n" ); document.write( "\"h%284%29+=+4%2F2+-+7\"
\n" ); document.write( "\"h%284%29+=+2-7\"
\n" ); document.write( "\"h%284%29+=+-5\"\r
\n" ); document.write( "\n" ); document.write( "If y varies directly as x, you can write: y = kx where k is the constant of proportionality. To find the value of k, susbstitute the given x = 3/2 and y = 1/4
\n" ); document.write( "\"1%2F4+=+k%283%2F2%29\" Multiply both sides by \"2%2F3\"
\n" ); document.write( "\"k+=+1%2F6\"
\n" ); document.write( "Now you have:
\n" ); document.write( "\"y+=+%281%2F6%29x\" Substitute x = 54.
\n" ); document.write( "\"y+=+%281%2F6%29%2854%29\"
\n" ); document.write( "\"y+=+9\"
\n" ); document.write( "
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