document.write( "Question 391137: 3x equals y plus 4 and x-y equals 6 \n" ); document.write( "

Algebra.Com's Answer #277428 by haileytucki(390) $\"\"$ $\"About$

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Solve by graphing method:\r
\n" ); document.write( "\n" ); document.write( "3x=7+4_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Add 4 to 7 to get 11.
\n" ); document.write( "3x=11_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3.
\n" ); document.write( "(3x)/(3)=(11)/(3)_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "x=(11)/(3)_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Since x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting x from both sides.
\n" ); document.write( "x=(11)/(3)_-y=-x+6\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by -1.
\n" ); document.write( "x=(11)/(3)_-y*-1=-x*-1+6*-1\r
\n" ); document.write( "\n" ); document.write( "Multiply -y by -1 to get y.
\n" ); document.write( "x=(11)/(3)_y=-x*-1+6*-1\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by multiplying out all the terms.
\n" ); document.write( "x=(11)/(3)_y=x-6\r
\n" ); document.write( "\n" ); document.write( "Create a graph to locate the intersection of the equations. The intersection of the system of equations is the solution.
\n" ); document.write( "x=(11)/(3)_y=x-6\r
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\n" ); document.write( "\n" ); document.write( "Solving by Subtitution Method\r
\n" ); document.write( "\n" ); document.write( "3x=7+4_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Add 4 to 7 to get 11.
\n" ); document.write( "3x=11_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3.
\n" ); document.write( "(3x)/(3)=(11)/(3)_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "x=(11)/(3)_x-y=6\r
\n" ); document.write( "\n" ); document.write( "Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is (11)/(3).
\n" ); document.write( "x=(11)/(3)_((11)/(3))-y=6\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression (11)/(3).
\n" ); document.write( "x=(11)/(3)_(11)/(3)-y=6\r
\n" ); document.write( "\n" ); document.write( "Since (11)/(3) does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting (11)/(3) from both sides.
\n" ); document.write( "x=(11)/(3)_-y=-(11)/(3)+6\r
\n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation.
\n" ); document.write( "x=(11)/(3)_-y=(7)/(3)\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by -1.
\n" ); document.write( "x=(11)/(3)_-y*-1=(7)/(3)*-1\r
\n" ); document.write( "\n" ); document.write( "Multiply -y by -1 to get y.
\n" ); document.write( "x=(11)/(3)_y=(7)/(3)*-1\r
\n" ); document.write( "\n" ); document.write( "Multiply (7)/(3) by -1 to get -(7)/(3).
\n" ); document.write( "x=(11)/(3)_y=-(7)/(3)\r
\n" ); document.write( "\n" ); document.write( "Replace all occurrences of x with the solution found by solving the last equation for x. In this case, the value substituted is (11)/(3).
\n" ); document.write( "x=(11)/(3)_y=-(7)/(3) \n" ); document.write( "

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