![\"\"](\"/images/stars/stars-13.gif\")
You can put this solution on YOUR website!
i get x = -4/17
\n" ); document.write( "if i replace x in the original equation with -4/17, then i get:
\n" ); document.write( "1/3(x-7)+5=6x+4 becomes:
\n" ); document.write( "(1/3)*((-4/17)-7) + 5 = 6(-4/17) + 4
\n" ); document.write( "since am just confirming, i use my calculator to simplify this equation to:
\n" ); document.write( "2.588235294 = 2.588235294
\n" ); document.write( "this confirms the solution of x = (-4/17) is good.
\n" ); document.write( "looking at what you did, you were good up until:
\n" ); document.write( "1/3x-7/3+5=6x+4
\n" ); document.write( "your next statement looks like where you went wrong.
\n" ); document.write( "that statement is:
\n" ); document.write( "1/3x=6x+34/3
\n" ); document.write( "starting from your last good statement of:
\n" ); document.write( "1/3x-7/3+5=6x+4
\n" ); document.write( "you want to add 7/3 to both sides of the equation and you want to subtract 5 from both sides of the equation to get:
\n" ); document.write( "(1/3)x = 6x + 4 + 7/3 - 5
\n" ); document.write( "you can combine like terms to make this:
\n" ); document.write( "(1/3)x = 6x - 1 + 7/3
\n" ); document.write( "since -1 is equivalent to -3/3, you can combine like terms again to make this:
\n" ); document.write( "(1/3)x = 6x -3/3 + 7/3 which becomes:
\n" ); document.write( "(1/3)x = 6x + 4/3 ******* see note 1 below.
\n" ); document.write( "you now want to get all the x's over to the left side of the equation.
\n" ); document.write( "you do this by subtracting 6x from both sides of the equation to get:
\n" ); document.write( "(1/3)x - 6x = 4/3
\n" ); document.write( "since -6 is equivalent to -18, you can simplify this equation to become:
\n" ); document.write( "(1/3)x - (18/3)x = 4/3
\n" ); document.write( "you can now combine like terms to get:
\n" ); document.write( "(-17/3)x = 4/3
\n" ); document.write( "if you multiply both sides of this equation by -3/17), then you will get:
\n" ); document.write( "x = (4/3) * (-3/17) which you can simplify to:
\n" ); document.write( "x = (-12/51) which can be further simplified to:
\n" ); document.write( "x = (-4/17)
\n" ); document.write( "***** note 1:
\n" ); document.write( "this is where you went wrong.
\n" ); document.write( "you wound up with (1/3)x = 6x + 34/3
\n" ); document.write( "i wound up with (1/3)x = 6x + 4/3
\n" ); document.write( "i'm not sure what you did different, but see what i did and then see what you did that was different from that.
\n" ); document.write( " \n" ); document.write( "