document.write( "Question 273009: solve the following systems of equations.
\n" );
document.write( "x+2y=3
\n" );
document.write( "2x-y=1 \n" );
document.write( "
Algebra.Com's Answer #199513 by persian52(161)![]() ![]() You can put this solution on YOUR website! I solved it by using the substitution method, if am right other wise explain in more detail what you looking for. HOPE i helped! ☺ \n" ); document.write( "-------------------------------------------------------------------------------- \n" ); document.write( "x+2y=3_2x-y=1\r \n" ); document.write( "\n" ); document.write( "Since 2y does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 2y from both sides. \n" ); document.write( "x=-2y+3_2x-y=1\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 -2y+3. \n" ); document.write( "x=-2y+3_2(-2y+3)-y=1\r \n" ); document.write( "\n" ); document.write( "Multiply 2 by each term inside the parentheses. \n" ); document.write( "x=-2y+3_(-4y+6)-y=1\r \n" ); document.write( "\n" ); document.write( "Since -4y and -y are like terms, subtract y from -4y to get -5y. \n" ); document.write( "x=-2y+3_-5y+6=1\r \n" ); document.write( "\n" ); document.write( "Since 6 does not contain the variable to solve for, move it to the right-hand side of the equation by subtracting 6 from both sides. \n" ); document.write( "x=-2y+3_-5y=-6+1\r \n" ); document.write( "\n" ); document.write( "Add 1 to -6 to get -5. \n" ); document.write( "x=-2y+3_-5y=-5\r \n" ); document.write( "\n" ); document.write( "Divide each term in the equation by -5. \n" ); document.write( "x=-2y+3_-(5y)/(-5)=-(5)/(-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=-2y+3_y=-(5)/(-5)\r \n" ); document.write( "\n" ); document.write( "Simplify the right-hand side of the equation by simplifying each term. \n" ); document.write( "x=-2y+3_y=1\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 1. \n" ); document.write( "x=-2(1)+3_y=1\r \n" ); document.write( "\n" ); document.write( "Multiply -2 by each term inside the parentheses. \n" ); document.write( "x=-2+3_y=1\r \n" ); document.write( "\n" ); document.write( "Add 3 to -2 to get 1. \n" ); document.write( "x=1_y=1\r \n" ); document.write( "\n" ); document.write( "This is the solution to the system of equations. \n" ); document.write( "1st Answer: x=1 \n" ); document.write( "2nd Answer: y=1 \n" ); document.write( " |