document.write( "Question 389658: Solve the system of linear equations using the Graphing Method.\r
\n" ); document.write( "\n" ); document.write( "x+3y=12
\n" ); document.write( "2x+y=4 \n" ); document.write( "

Algebra.Com's Answer #276170 by haileytucki(390) $\"\"$ $\"About$

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x+3y=12_2x+y=4\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( "3y=-x+12_2x+y=4\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 3.
\n" ); document.write( "(3y)/(3)=-(x)/(3)+(12)/(3)_2x+y=4\r
\n" ); document.write( "\n" ); document.write( "Simplify the left-hand side of the equation by canceling the common factors.
\n" ); document.write( "y=-(x)/(3)+(12)/(3)_2x+y=4\r
\n" ); document.write( "\n" ); document.write( "Combine the numerators of all expressions that have common denominators.
\n" ); document.write( "y=(-x+12)/(3)_2x+y=4\r
\n" ); document.write( "\n" ); document.write( "Since 2x does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2x from both sides.
\n" ); document.write( "y=(-x+12)/(3)_y=-2x+4\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( "y=(-x+12)/(3)_y=-2x+4 \n" ); document.write( "

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