document.write( "Question 196283: solve each equation. PLEASE DO THESE FOR ME.. THANKS\r
\n" ); document.write( "\n" ); document.write( "1. x/3+x/2=10\r
\n" ); document.write( "\n" ); document.write( "2. y-3/5=y+1/7\r
\n" ); document.write( "\n" ); document.write( "3. x/2=2x-3\r
\n" ); document.write( "\n" ); document.write( "4. -1/4-2x/3\r
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\n" ); document.write( "\n" ); document.write( "5. 1/x-1/6=4/3x^2\r
\n" ); document.write( "\n" ); document.write( "6. 2x-4/x-5=0
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #147143 by anantha(86)\"\" \"About 
You can put this solution on YOUR website!
sol:
\n" ); document.write( "1). x/3+x/2=10
\n" ); document.write( " take L.H.S part
\n" ); document.write( "x/3+x/2
\n" ); document.write( "the L.C.M OF 3 and 2 is 6
\n" ); document.write( "now multiplying through out the equation by 6
\n" ); document.write( "x/3*6+x/2*6=10*6
\n" ); document.write( "2x+3x=60
\n" ); document.write( "5x=60
\n" ); document.write( "dividing by 5 on both sides
\n" ); document.write( "5x/5=60/5
\n" ); document.write( "x=12
\n" ); document.write( "-------------------------------------------------------------------------------
\n" ); document.write( "3). x/2=2x-3
\n" ); document.write( "multiplying by 2 on both sides
\n" ); document.write( "x/2*2=2*(2x-3)
\n" ); document.write( "x=4x-6subtract x on both sides
\n" ); document.write( "x-x=4x-6-x
\n" ); document.write( "0=3x-6
\n" ); document.write( "adding 6 on both sides
\n" ); document.write( "0+6=3x-6+6
\n" ); document.write( "6=3x
\n" ); document.write( "dividing by 3 on both sides
\n" ); document.write( "6/3=3x/3
\n" ); document.write( "2=x
\n" ); document.write( "x=2
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\n" ); document.write( "5).
\n" ); document.write( "1/x-1/6=4/3x^2
\n" ); document.write( "take L.H.S part the lcm of 6 and x is 6x
\n" ); document.write( "6-x/6x
\n" ); document.write( "6-x/6x=4/3x^2
\n" ); document.write( "on cross multiplication
\n" ); document.write( "3x^2(6-x)=6x*4
\n" ); document.write( "18x^2-3x^3=24x
\n" ); document.write( "dividing through out by x
\n" ); document.write( "18x^2/x-3x^3/x=24x/x
\n" ); document.write( "18x-3x^2=24 take l.h.s terms on r.h.s side we can chabnge the signs
\n" ); document.write( "3x^2-18x+24=0
\n" ); document.write( "3x^2-12x-6x+24=0 (i.e;on multiplying 3 and 24 we get 72 the factors of 72 are 12 and 6 because on adding these two we get 18 and multiplying we get 72)
\n" ); document.write( "3x(x-4)-6(x-4)=0
\n" ); document.write( "(3x-6)(x-4)=0
\n" ); document.write( "3x-6=0
\n" ); document.write( "3x=6
\n" ); document.write( "x=6/3=2
\n" ); document.write( "x-4=0
\n" ); document.write( "x=4
\n" ); document.write( "x=4,2
\n" ); document.write( "-------------------------------------------------------------------------------
\n" ); document.write( "6).\r
\n" ); document.write( "\n" ); document.write( "2x-4/x-5=0
\n" ); document.write( "multiplying by x on both sides
\n" ); document.write( "2x*x-4/x*x-5*x=0*x
\n" ); document.write( "2x^2-4-5x=0
\n" ); document.write( "2x^2-5x-4=0
\n" ); document.write( "this is of the form ax^2+bx+c=0
\n" ); document.write( "here a=2,b=-5,c=-4
\n" ); document.write( "x=[-b+sqrt(b^2-4ac)]/2a, x=[-b-sqrt(b^2-4ac)]/2a
\n" ); document.write( "x=[-(-5)+sqrt((_5)^2-4*2*-4)]/2*2
\n" ); document.write( "x=[5+sqrt(25+32)]/4
\n" ); document.write( "x=[5+sqrt(57)]/4
\n" ); document.write( "x=[-sqrt(57)]/4\r
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