document.write( "Question 345939: linear system.
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document.write( "2x+3y=8
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document.write( "-x+y=-4 \n" );
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Algebra.Com's Answer #247341 by haileytucki(390)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " |