document.write( "Question 267955: solve the system of equations\r
\n" ); document.write( "\n" ); document.write( "5/4x - 4/3y + 5/4z = 7
\n" ); document.write( "5/16x + 3/4y - 3/16z = -7
\n" ); document.write( "3/4x -y + 3/4z = 6\r
\n" ); document.write( "\n" ); document.write( "x = __ , y = ___, and z = ___ \n" ); document.write( "
Algebra.Com's Answer #196942 by persian52(161)\"\" \"About 
You can put this solution on YOUR website!
(5)/(4)*x-(4)/(3)*y+(5)/(4)*z=7\r
\n" ); document.write( "\n" ); document.write( "►Multiply (5)/(4) by x to get (5x)/(4).
\n" ); document.write( "(5x)/(4)-(4)/(3)*y+(5)/(4)*z=7\r
\n" ); document.write( "\n" ); document.write( "►Multiply -(4)/(3) by y to get -(4y)/(3).
\n" ); document.write( "(5x)/(4)-(4y)/(3)+(5)/(4)*z=7\r
\n" ); document.write( "\n" ); document.write( "►Multiply (5)/(4) by z to get (5z)/(4).
\n" ); document.write( "(5x)/(4)-(4y)/(3)+(5z)/(4)=7\r
\n" ); document.write( "\n" ); document.write( "►Move all terms not containing x to the right-hand side of the equation.
\n" ); document.write( "(5x)/(4)=(4y)/(3)-(5z)/(4)+7\r
\n" ); document.write( "\n" ); document.write( "►Multiply each term in the equation by 4.
\n" ); document.write( "(5x)/(4)*4=(4y)/(3)*4-(5z)/(4)*4+7*4\r
\n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "5x=(4y)/(3)*4-(5z)/(4)*4+7*4\r
\n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "5x=(16y)/(3)-5z+28\r
\n" ); document.write( "\n" ); document.write( "►Divide each term in the equation by 5.
\n" ); document.write( "(5x)/(5)=(16y)/(3)*(1)/(5)-(5z)/(5)+(28)/(5)\r
\n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "x=(16y)/(3)*(1)/(5)-(5z)/(5)+(28)/(5)\r
\n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "=► x=(16y)/(15)-z+(28)/(5)
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\n" ); document.write( "(5)/(16)*x+(3)/(4)*y-(3)/(16)*z=-7\r
\n" ); document.write( "\n" ); document.write( "►Multiply (5)/(16) by x to get (5x)/(16).
\n" ); document.write( "(5x)/(16)+(3)/(4)*y-(3)/(16)*z=-7\r
\n" ); document.write( "\n" ); document.write( "►Multiply (3)/(4) by y to get (3y)/(4).
\n" ); document.write( "(5x)/(16)+(3y)/(4)-(3)/(16)*z=-7\r
\n" ); document.write( "\n" ); document.write( "►Multiply -(3)/(16) by z to get -(3z)/(16).
\n" ); document.write( "(5x)/(16)+(3y)/(4)-(3z)/(16)=-7\r
\n" ); document.write( "\n" ); document.write( "►Move all terms not containing y to the right-hand side of the equation.
\n" ); document.write( "(3y)/(4)=-(5x)/(16)+(3z)/(16)-7\r
\n" ); document.write( "\n" ); document.write( "►Multiply each term in the equation by 4.
\n" ); document.write( "(3y)/(4)*4=-(5x)/(16)*4+(3z)/(16)*4-7*4\r
\n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "3y=-(5x)/(16)*4+(3z)/(16)*4-7*4\r
\n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "3y=-(5x)/(4)+(3z)/(4)-28\r
\n" ); document.write( "\n" ); document.write( "►Divide each term in the equation by 3.
\n" ); document.write( "(3y)/(3)=-(5x)/(4)*(1)/(3)+(3z)/(4)*(1)/(3)-(28)/(3)\r
\n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "y=-(5x)/(4)*(1)/(3)+(3z)/(4)*(1)/(3)-(28)/(3)\r
\n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "=► y=-(5x)/(12)+(z)/(4)-(28)/(3)
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\n" ); document.write( "(3)/(4)*x-y+(3)/(4)*z=6\r
\n" ); document.write( "\n" ); document.write( "►Multiply (3)/(4) by x to get (3x)/(4).
\n" ); document.write( "(3x)/(4)-y+(3)/(4)*z=6\r
\n" ); document.write( "\n" ); document.write( "►Multiply (3)/(4) by z to get (3z)/(4).
\n" ); document.write( "(3x)/(4)-y+(3z)/(4)=6\r
\n" ); document.write( "\n" ); document.write( "►Move all terms not containing z to the right-hand side of the equation.
\n" ); document.write( "(3z)/(4)=-(3x)/(4)+y+6\r
\n" ); document.write( "\n" ); document.write( "►Multiply each term in the equation by 4.
\n" ); document.write( "(3z)/(4)*4=-(3x)/(4)*4+y*4+6*4\r
\n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "3z=-(3x)/(4)*4+y*4+6*4\r
\n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "3z=-3x+4y+24\r
\n" ); document.write( "\n" ); document.write( "►Divide each term in the equation by 3.
\n" ); document.write( "(3z)/(3)=-(3x)/(3)+(4y)/(3)+(24)/(3)\r
\n" ); document.write( "\n" ); document.write( "►Simplify the left-hand side of the equation by canceling the common terms.
\n" ); document.write( "z=-(3x)/(3)+(4y)/(3)+(24)/(3)\r
\n" ); document.write( "\n" ); document.write( "►Simplify the right-hand side of the equation by simplifying each term.
\n" ); document.write( "=► z=-x+(4y)/(3)+8
\n" ); document.write( "_______________________________________________________________________________
\n" ); document.write( "x =(16y)/(15)-z+(28)/(5), y =-(5x)/(12)+(z)/(4)-(28)/(3), and z =-x+(4y)/(3)+8
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