document.write( "Question 345939: linear system.
\n" ); document.write( "2x+3y=8
\n" ); document.write( "-x+y=-4
\n" ); document.write( "

Algebra.Com's Answer #247341 by haileytucki(390)\"\" \"About 
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2x+3y=8_-x+y=-4\r
\n" ); document.write( "\n" ); document.write( "Since y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting y from both sides.
\n" ); document.write( "2x+3y=8_-x=-y-4\r
\n" ); document.write( "\n" ); document.write( "Multiply each term in the equation by -1.
\n" ); document.write( "2x+3y=8_-x*-1=-y*-1-4*-1\r
\n" ); document.write( "\n" ); document.write( "Multiply -x by -1 to get x.
\n" ); document.write( "2x+3y=8_x=-y*-1-4*-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( "2x+3y=8_x=y+4\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 y+4.
\n" ); document.write( "2(y+4)+3y=8_x=y+4\r
\n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses.
\n" ); document.write( "2y+8+3y=8_x=y+4\r
\n" ); document.write( "\n" ); document.write( "Since 2y and 3y are like terms, add 3y to 2y to get 5y.
\n" ); document.write( "5y+8=8_x=y+4\r
\n" ); document.write( "\n" ); document.write( "Since 8 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 8 from both sides.
\n" ); document.write( "5y=-8+8_x=y+4\r
\n" ); document.write( "\n" ); document.write( "Add 8 to -8 to get 0.
\n" ); document.write( "5y=0_x=y+4\r
\n" ); document.write( "\n" ); document.write( "Divide each term in the equation by 5.
\n" ); document.write( "(5y)/(5)=(0)/(5)_x=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=(0)/(5)_x=y+4\r
\n" ); document.write( "\n" ); document.write( "0 divided by any number or variable is 0.
\n" ); document.write( "y=0_x=y+4\r
\n" ); document.write( "\n" ); document.write( "Replace all occurrences of y with the solution found by solving the last equation for y. In this case, the value substituted is 0.
\n" ); document.write( "y=0_x=(0)+4\r
\n" ); document.write( "\n" ); document.write( "Remove the parentheses around the expression 0.
\n" ); document.write( "y=0_x=0+4\r
\n" ); document.write( "\n" ); document.write( "Remove the 0 from the polynomial; adding or subtracting 0 does not change the value of the expression.
\n" ); document.write( "y=0_x=4\r
\n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations.
\n" ); document.write( "y=0_x=4
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